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76990859856 = 24331732633917
BaseRepresentation
bin100011110110100000…
…0110100101001010000
321100201121212220202000
41013231000310221100
52230134130003411
655211421154000
75363622340161
oct1075500645120
9240647786660
1076990859856
112a7193735a9
1212b080bb900
13734c8a0211
143a25273768
152009221956
hex11ed034a50

76990859856 has 160 divisors (see below), whose sum is σ = 223171787520. Its totient is φ = 25411769856.

The previous prime is 76990859839. The next prime is 76990859863. The reversal of 76990859856 is 65895809967.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19653610 + ... + 19657526.

It is an arithmetic number, because the mean of its divisors is an integer number (1394823672).

Almost surely, 276990859856 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 76990859856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111585893760).

76990859856 is an abundant number, since it is smaller than the sum of its proper divisors (146180927664).

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

76990859856 is a wasteful number, since it uses less digits than its factorization.

76990859856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 76990859856 in words is "seventy-six billion, nine hundred ninety million, eight hundred fifty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 173 216 263 346 432 519 526 692 789 1038 1052 1384 1557 1578 2076 2104 2367 2768 3114 3156 3917 4152 4208 4671 4734 6228 6312 7101 7834 8304 9342 9468 11751 12456 12624 14202 15668 18684 18936 23502 24912 28404 31336 35253 37368 37872 45499 47004 56808 62672 70506 74736 90998 94008 105759 113616 136497 141012 181996 188016 211518 272994 282024 363992 409491 423036 545988 564048 677641 727984 818982 846072 1030171 1091976 1228473 1355282 1637964 1692144 2032923 2060342 2183952 2456946 2710564 3090513 3275928 4065846 4120684 4913892 5421128 6098769 6181026 6551856 8131692 8241368 9271539 9827784 10842256 12197538 12362052 16263384 16482736 18296307 18543078 19655568 24395076 24724104 27814617 32526768 36592614 37086156 48790152 49448208 55629234 73185228 74172312 97580304 111258468 146370456 148344624 178219583 222516936 292740912 356439166 445033872 534658749 712878332 1069317498 1425756664 1603976247 2138634996 2851513328 3207952494 4277269992 4811928741 6415904988 8554539984 9623857482 12831809976 19247714964 25663619952 38495429928 76990859856