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88985130115968 = 273279519715009
BaseRepresentation
bin10100001110111001110111…
…000100100010001110000000
3102200001220011201100110211200
4110032321313010202032000
543130413021302202333
6513131112053541200
724512651323012212
oct2416716704421600
9380056151313750
1088985130115968
1126398422127309
129b91ab8044800
133a86353132358
1417d8c908465b2
15a44a92953c13
hex50ee77122380

88985130115968 has 96 divisors (see below), whose sum is σ = 256096212808800. Its totient is φ = 29657976422400.

The previous prime is 88985130115949. The next prime is 88985130115993. The reversal of 88985130115968 is 86951103158988.

88985130115968 is a `hidden beast` number, since 8 + 8 + 9 + 8 + 5 + 13 + 0 + 11 + 596 + 8 = 666.

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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 88985130115896 and 88985130115905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4302048 + ... + 14017056.

It is an arithmetic number, because the mean of its divisors is an integer number (2667668883425).

Almost surely, 288985130115968 is an apocalyptic number.

It is an amenable number.

88985130115968 is an abundant number, since it is smaller than the sum of its proper divisors (167111082692832).

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

88985130115968 is a wasteful number, since it uses less digits than its factorization.

88985130115968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9722980 (or 9722965 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 72.

The spelling of 88985130115968 in words is "eighty-eight trillion, nine hundred eighty-five billion, one hundred thirty million, one hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 7951 15902 23853 31804 47706 63608 71559 95412 127216 143118 190824 254432 286236 381648 508864 572472 763296 1017728 1144944 1526592 2289888 3053184 4579776 9159552 9715009 19430018 29145027 38860036 58290054 77720072 87435081 116580108 155440144 174870162 233160216 310880288 349740324 466320432 621760576 699480648 932640864 1243521152 1398961296 1865281728 2797922592 3730563456 5595845184 11191690368 77244036559 154488073118 231732109677 308976146236 463464219354 617952292472 695196329031 926928438708 1235904584944 1390392658062 1853856877416 2471809169888 2780785316124 3707713754832 4943618339776 5561570632248 7415427509664 9887236679552 11123141264496 14830855019328 22246282528992 29661710038656 44492565057984 88985130115968