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88523638801 = 1329974575297
BaseRepresentation
bin101001001110001101…
…0111000100000010001
322110111100211210021221
41102130122320200101
52422244022420201
6104400040445041
76252461341333
oct1223432704021
9273440753257
1088523638801
11345a7317074
12151a6479781
138469cb8780
1443dabcd453
1524819514a1
hex149c6b8811

88523638801 has 32 divisors (see below), whose sum is σ = 99874081440. Its totient is φ = 77897465856.

The previous prime is 88523638793. The next prime is 88523638811. The reversal of 88523638801 is 10883632588.

It can be written as a sum of positive squares in 16 ways, for example, as 4437558225 + 84086080576 = 66615^2 + 289976^2 .

It is a cyclic number.

It is not a de Polignac number, because 88523638801 - 23 = 88523638793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88523638811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16709385 + ... + 16714681.

It is an arithmetic number, because the mean of its divisors is an integer number (3121065045).

Almost surely, 288523638801 is an apocalyptic number.

It is an amenable number.

88523638801 is a deficient number, since it is larger than the sum of its proper divisors (11350442639).

88523638801 is a wasteful number, since it uses less digits than its factorization.

88523638801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893.

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 88523638801 in words is "eighty-eight billion, five hundred twenty-three million, six hundred thirty-eight thousand, eight hundred one".

Divisors: 1 13 29 97 377 457 1261 2813 5297 5941 13253 36569 44329 68861 153613 172289 513809 576277 1285541 1996969 2420729 6679517 14900461 16712033 31469477 70201141 193705993 234810713 912614833 3052539269 6809510677 88523638801