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3748077144 = 2333723310639
BaseRepresentation
bin1101111101100111…
…0001111001011000
3100200012200001021000
43133121301321120
530134001432034
61415530145000
7161611062420
oct33731617130
910605601230
103748077144
111653767919
12887282160
13479687a36
14277ad7480
1516e0b1599
hexdf671e58

3748077144 has 128 divisors (see below), whose sum is σ = 11950848000. Its totient is φ = 1066182912.

The previous prime is 3748077143. The next prime is 3748077163. The reversal of 3748077144 is 4417708473.

It is a self number, because there is not a number n which added to its sum of digits gives 3748077144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3748077143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346977 + ... + 357615.

It is an arithmetic number, because the mean of its divisors is an integer number (93366000).

Almost surely, 23748077144 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 3748077144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975424000).

3748077144 is an abundant number, since it is smaller than the sum of its proper divisors (8202770856).

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

3748077144 is a wasteful number, since it uses less digits than its factorization.

3748077144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10894 (or 10884 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 3748077144 is about 61221.5415029710. The cubic root of 3748077144 is about 1553.3506626584.

The spelling of 3748077144 in words is "three billion, seven hundred forty-eight million, seventy-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 233 252 378 466 504 699 756 932 1398 1512 1631 1864 2097 2796 3262 4194 4893 5592 6291 6524 8388 9786 10639 12582 13048 14679 16776 19572 21278 25164 29358 31917 39144 42556 44037 50328 58716 63834 74473 85112 88074 95751 117432 127668 148946 176148 191502 223419 255336 287253 297892 352296 383004 446838 574506 595784 670257 766008 893676 1149012 1340514 1787352 2010771 2298024 2478887 2681028 4021542 4957774 5362056 7436661 8043084 9915548 14873322 16086168 17352209 19831096 22309983 29746644 34704418 44619966 52056627 59493288 66929949 69408836 89239932 104113254 133859898 138817672 156169881 178479864 208226508 267719796 312339762 416453016 468509643 535439592 624679524 937019286 1249359048 1874038572 3748077144