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12958300855696 = 24721285632
BaseRepresentation
bin1011110010010001011011…
…1010110101110110010000
31200212210122021012111222111
42330210112322311312100
53144302100004340241
643320543343115104
72505130526621200
oct274442672656620
950783567174874
1012958300855696
114146648013469
1215534a48a2a94
1372cc68898c31
1432b283d16400
1517711d919c81
hexbc916eb5d90

12958300855696 has 45 divisors (see below), whose sum is σ = 29205989432811. Its totient is φ = 5553514312416.

The previous prime is 12958300855663. The next prime is 12958300855699. The reversal of 12958300855696 is 69655800385921.

The square root of 12958300855696 is 3599764.

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

It is a super-2 number, since 2×129583008556962 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12958300855699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 100729111 + ... + 100857673.

Almost surely, 212958300855696 is an apocalyptic number.

12958300855696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12958300855696 is the 3599764-th square number.

It is an amenable number.

12958300855696 is an abundant number, since it is smaller than the sum of its proper divisors (16247688577115).

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

12958300855696 is an frugal number, since it uses more digits than its factorization.

12958300855696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257148 (or 128572 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 67.

The spelling of 12958300855696 in words is "twelve trillion, nine hundred fifty-eight billion, three hundred million, eight hundred fifty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 128563 257126 514252 899941 1028504 1799882 2057008 3599764 6299587 7199528 12599174 14399056 25198348 50396696 100793392 16528444969 33056889938 66113779876 115699114783 132227559752 231398229566 264455119504 462796459132 809893803481 925592918264 1619787606962 1851185836528 3239575213924 6479150427848 12958300855696