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13763921920576 = 264637472
BaseRepresentation
bin1100100001001010100110…
…1011010100001001000000
31210201211002101100221101021
43020102221223110021000
53301002003002424301
645135020342315224
72620260546652402
oct310225153241100
953654071327337
1013763921920576
114427279110423
121663659728b14
1378ac17266aa9
1435826aa0ab72
1518d0704428a1
hexc84a9ad4240

13763921920576 has 21 divisors (see below), whose sum is σ = 27312841457139. Its totient is φ = 6881946120384.

The previous prime is 13763921920571. The next prime is 13763921920601. The reversal of 13763921920576 is 67502912936731.

The square root of 13763921920576 is 3709976.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13763921920571) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 29447935 + ... + 29911681.

It is an arithmetic number, because the mean of its divisors is an integer number (1300611497959).

Almost surely, 213763921920576 is an apocalyptic number.

13763921920576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13763921920576 is the 3709976-th square number.

It is an amenable number.

13763921920576 is a deficient number, since it is larger than the sum of its proper divisors (13548919536563).

13763921920576 is an frugal number, since it uses more digits than its factorization.

13763921920576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927506 (or 463749 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 61.

The spelling of 13763921920576 in words is "thirteen trillion, seven hundred sixty-three billion, nine hundred twenty-one million, nine hundred twenty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 463747 927494 1854988 3709976 7419952 14839904 29679808 215061280009 430122560018 860245120036 1720490240072 3440980480144 6881960960288 13763921920576