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4882195968 = 293131391759
BaseRepresentation
bin1001000110000000…
…00110011000000000
3110121020201020210220
410203000012120000
534444320232333
62124242223040
7231661660326
oct44300063000
913536636726
104882195968
112085966101
12b43054a80
135ca623370
14344597d16
151d89368b3
hex123006600

4882195968 has 160 divisors (see below), whose sum is σ = 14115763200. Its totient is φ = 1490558976.

The previous prime is 4882195937. The next prime is 4882195973. The reversal of 4882195968 is 8695912884.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2774673 + ... + 2776431.

It is an arithmetic number, because the mean of its divisors is an integer number (88223520).

Almost surely, 24882195968 is an apocalyptic number.

4882195968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4882195968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7057881600).

4882195968 is an abundant number, since it is smaller than the sum of its proper divisors (9233567232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4882195968 is a wasteful number, since it uses less digits than its factorization.

4882195968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1916 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 60.

The square root of 4882195968 is about 69872.7126137235. The cubic root of 4882195968 is about 1696.4396036193.

The spelling of 4882195968 in words is "four billion, eight hundred eighty-two million, one hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 139 156 192 208 256 278 312 384 416 417 512 556 624 768 832 834 1112 1248 1536 1664 1668 1759 1807 2224 2496 3328 3336 3518 3614 4448 4992 5277 5421 6656 6672 7036 7228 8896 9984 10554 10842 13344 14072 14456 17792 19968 21108 21684 22867 26688 28144 28912 35584 42216 43368 45734 53376 56288 57824 68601 71168 84432 86736 91468 106752 112576 115648 137202 168864 173472 182936 213504 225152 231296 244501 274404 337728 346944 365872 450304 462592 489002 548808 675456 693888 731744 733503 900608 925184 978004 1097616 1350912 1387776 1463488 1467006 1956008 2195232 2701824 2775552 2926976 2934012 3178513 3912016 4390464 5853952 5868024 6357026 7824032 8780928 9535539 11707904 11736048 12714052 15648064 17561856 19071078 23472096 25428104 31296128 35123712 38142156 46944192 50856208 62592256 76284312 93888384 101712416 125184512 152568624 187776768 203424832 305137248 375553536 406849664 610274496 813699328 1220548992 1627398656 2441097984 4882195968