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87696087241984 = 2813317910759897
BaseRepresentation
bin10011111100001001010110…
…001000001101010100000000
3102111111122221002202200210121
4103330021112020031110000
542443303041313220414
6510303005403310024
724320555536245364
oct2374112610152400
9374448832680717
1087696087241984
1125a4077a01a071
129a0410a21b314
1339c1923100840
1417927285ab2a4
15a2129a94e724
hex4fc25620d500

87696087241984 has 144 divisors (see below), whose sum is σ = 197059354347520. Its totient is φ = 38673648599040.

The previous prime is 87696087241979. The next prime is 87696087241993. The reversal of 87696087241984 is 48914278069678.

It is a Harshad number since it is a multiple of its sum of digits (79).

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, 2770324 + ... + 13530220.

Almost surely, 287696087241984 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 87696087241984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98529677173760).

87696087241984 is an abundant number, since it is smaller than the sum of its proper divisors (109363267105536).

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

87696087241984 is a wasteful number, since it uses less digits than its factorization.

87696087241984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10760036 (or 10760022 counting only the distinct ones).

The product of its (nonzero) digits is 2341011456, while the sum is 79.

The spelling of 87696087241984 in words is "eighty-seven trillion, six hundred ninety-six billion, eighty-seven million, two hundred forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 79 104 124 128 158 208 248 256 316 403 416 496 632 806 832 992 1027 1264 1612 1664 1984 2054 2449 2528 3224 3328 3968 4108 4898 5056 6448 7936 8216 9796 10112 12896 16432 19592 20224 25792 31837 32864 39184 51584 63674 65728 78368 103168 127348 131456 156736 254696 262912 313472 509392 626944 1018784 2037568 4075136 8150272 10759897 21519794 43039588 86079176 139878661 172158352 279757322 333556807 344316704 559514644 667113614 688633408 850031863 1119029288 1334227228 1377266816 1700063726 2238058576 2668454456 2754533632 3400127452 4336238491 4476117152 5336908912 6800254904 8672476982 8952234304 10673817824 11050414219 13600509808 17344953964 17904468608 21347635648 22100828438 26350987753 27201019616 34689907928 35808937216 42695271296 44201656876 52701975506 54402039232 69379815856 85390542592 88403313752 105403951012 108804078464 138759631712 176806627504 210807902024 217608156928 277519263424 342562840789 353613255008 421615804048 555038526848 685125681578 707226510016 843231608096 1110077053696 1370251363156 1414453020032 1686463216192 2740502726312 2828906040064 3372926432384 5481005452624 6745852864768 10962010905248 21924021810496 43848043620992 87696087241984