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13655951596816 = 249238492
BaseRepresentation
bin1100011010111000011000…
…1001001101110100010000
31210100111101202011012101021
43012232012021031310100
53242214342102044231
645013242455445224
72606416132233364
oct306560611156420
953314352135337
1013655951596816
1143955027370a1
121646746686814
1378099b404a59
14352d472092a4
1518a351620811
hexc6b8624dd10

13655951596816 has 15 divisors (see below), whose sum is σ = 26458434858181. Its totient is φ = 6827968407616.

The previous prime is 13655951596759. The next prime is 13655951596867. The reversal of 13655951596816 is 61869515955631.

It is a happy number.

The square root of 13655951596816 is 3695396.

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., 10585886931216 + 3070064665600 = 3253596^2 + 1752160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 14319660 + ... + 15243508.

Almost surely, 213655951596816 is an apocalyptic number.

13655951596816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13655951596816 is the 3695396-th square number.

It is an amenable number.

13655951596816 is a deficient number, since it is larger than the sum of its proper divisors (12802483261365).

13655951596816 is an frugal number, since it uses more digits than its factorization.

13655951596816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847706 (or 923851 counting only the distinct ones).

The product of its digits is 262440000, while the sum is 70.

The spelling of 13655951596816 in words is "thirteen trillion, six hundred fifty-five billion, nine hundred fifty-one million, five hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 923849 1847698 3695396 7390792 14781584 853496974801 1706993949602 3413987899204 6827975798408 13655951596816