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7921172064 = 253138376471
BaseRepresentation
bin1110110000010001…
…10111111001100000
3202110001002020022010
413120020313321200
5112210310001224
63350002112520
7400202565051
oct73010677140
922401066263
107921172064
1133a53278a3
12165094b740
13993103380
14552028728
15315628e29
hex1d8237e60

7921172064 has 96 divisors (see below), whose sum is σ = 22662630144. Its totient is φ = 2407887360.

The previous prime is 7921172057. The next prime is 7921172099. The reversal of 7921172064 is 4602711297.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 65349 + ... + 141819.

It is an arithmetic number, because the mean of its divisors is an integer number (236069064).

Almost surely, 27921172064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7921172064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11331315072).

7921172064 is an abundant number, since it is smaller than the sum of its proper divisors (14741458080).

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

7921172064 is a wasteful number, since it uses less digits than its factorization.

7921172064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76580 (or 76572 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 7921172064 is about 89000.9666464359. The cubic root of 7921172064 is about 1993.4093105967.

The spelling of 7921172064 in words is "seven billion, nine hundred twenty-one million, one hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 83 96 104 156 166 208 249 312 332 416 498 624 664 996 1079 1248 1328 1992 2158 2656 3237 3984 4316 6474 7968 8632 12948 17264 25896 34528 51792 76471 103584 152942 229413 305884 458826 611768 917652 994123 1223536 1835304 1988246 2447072 2982369 3670608 3976492 5964738 6347093 7341216 7952984 11929476 12694186 15905968 19041279 23858952 25388372 31811936 38082558 47717904 50776744 76165116 82512209 95435808 101553488 152330232 165024418 203106976 247536627 304660464 330048836 495073254 609320928 660097672 990146508 1320195344 1980293016 2640390688 3960586032 7921172064