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76372921856 = 297113116229
BaseRepresentation
bin100011100100000101…
…1100100111000000000
321022010120010102011102
41013020023210320000
52222402431444411
655030224433532
75342410060520
oct1071013447000
9238116112142
1076372921856
112a431583640
12129751788a8
13728186392a
1439a717b680
151ebed5dd3b
hex11c82e4e00

76372921856 has 160 divisors (see below), whose sum is σ = 190892782080. Its totient is φ = 29655244800.

The previous prime is 76372921829. The next prime is 76372921901. The reversal of 76372921856 is 65812927367.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12257750 + ... + 12263978.

It is an arithmetic number, because the mean of its divisors is an integer number (1193079888).

Almost surely, 276372921856 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 76372921856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95446391040).

76372921856 is an abundant number, since it is smaller than the sum of its proper divisors (114519860224).

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

76372921856 is a wasteful number, since it uses less digits than its factorization.

76372921856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6576 (or 6560 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 56.

The spelling of 76372921856 in words is "seventy-six billion, three hundred seventy-two million, nine hundred twenty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 311 352 448 512 616 622 704 896 1232 1244 1408 1792 2177 2464 2488 2816 3421 3584 4354 4928 4976 5632 6229 6842 8708 9856 9952 12458 13684 17416 19712 19904 23947 24916 27368 34832 39424 39808 43603 47894 49832 54736 68519 69664 79616 87206 95788 99664 109472 137038 139328 159232 174412 191576 199328 218944 274076 278656 348824 383152 398656 437888 479633 548152 557312 697648 766304 797312 875776 959266 1096304 1114624 1395296 1532608 1594624 1751552 1918532 1937219 2192608 2790592 3065216 3189248 3837064 3874438 4385216 5581184 6130432 7674128 7748876 8770432 11162368 12260864 13560533 15348256 15497752 17540864 21309409 22324736 27121066 30696512 30995504 35081728 42618818 54242132 61393024 61991008 85237636 108484264 122786048 123982016 149165863 170475272 216968528 245572096 247964032 298331726 340950544 433937056 495928064 596663452 681901088 867874112 991856128 1193326904 1363802176 1735748224 2386653808 2727604352 3471496448 4773307616 5455208704 6942992896 9546615232 10910417408 19093230464 38186460928 76372921856