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12537817010884 = 221121924321972
BaseRepresentation
bin1011011001110011000000…
…1000010001001011000100
31122101121022000200000102201
42312130300020101023010
53120404422123322014
642355443231044244
72432553536123044
oct266346010211304
948347260600381
1012537817010884
113aa429292a300
1214a5ab5670684
136cc407566279
14314b954bd724
1516b20da7de74
hexb67302112c4

12537817010884 has 243 divisors, whose sum is σ = 26191949272461. Its totient is φ = 5246731385280.

The previous prime is 12537817010863. The next prime is 12537817010891. The reversal of 12537817010884 is 48801071873521.

The square root of 12537817010884 is 3540878.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12284534304900 + 253282705984 = 3504930^2 + 503272^2 .

It is a super-2 number, since 2×125378170108842 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 63643741074 + ... + 63643741270.

Almost surely, 212537817010884 is an apocalyptic number.

12537817010884 is the 3540878-th square number.

It is an amenable number.

12537817010884 is an abundant number, since it is smaller than the sum of its proper divisors (13654132261577).

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

12537817010884 is a wasteful number, since it uses less digits than its factorization.

12537817010884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 55.

The spelling of 12537817010884 in words is "twelve trillion, five hundred thirty-seven billion, eight hundred seventeen million, ten thousand, eight hundred eighty-four".