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14739902464 = 212722712
BaseRepresentation
bin11011011101001000…
…10001000000000000
31102001020201121221111
431232210101000000
5220141403334324
610434343133104
71031161050400
oct155644210000
942036647844
1014739902464
116284321981
122a34444194
13150b9ac5a1
149db87a800
155b4088794
hex36e911000

14739902464 has 117 divisors (see below), whose sum is σ = 34415641431. Its totient is φ = 6293790720.

The previous prime is 14739902431. The next prime is 14739902483. The reversal of 14739902464 is 46420993741.

The square root of 14739902464 is 121408.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54390649 + ... + 54390919.

Almost surely, 214739902464 is an apocalyptic number.

14739902464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14739902464 is the 121408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14739902464

14739902464 is an abundant number, since it is smaller than the sum of its proper divisors (19675738967).

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

14739902464 is an frugal number, since it uses more digits than its factorization.

14739902464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

Multiplying 14739902464 by its sum of digits (49), we get a square (722255220736 = 8498562).

14739902464 divided by its sum of digits (49) gives a square (300814336 = 173442).

The spelling of 14739902464 in words is "fourteen billion, seven hundred thirty-nine million, nine hundred two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 271 392 448 512 542 784 896 1024 1084 1568 1792 1897 2048 2168 3136 3584 3794 4096 4336 6272 7168 7588 8672 12544 13279 14336 15176 17344 25088 26558 28672 30352 34688 50176 53116 60704 69376 73441 100352 106232 121408 138752 146882 200704 212464 242816 277504 293764 424928 485632 514087 555008 587528 849856 971264 1028174 1110016 1175056 1699712 1942528 2056348 2350112 3399424 3598609 3885056 4112696 4700224 6798848 7197218 7770112 8225392 9400448 13597696 14394436 16450784 18800896 27195392 28788872 32901568 37601792 54390784 57577744 65803136 75203584 115155488 131606272 150407168 230310976 263212544 300814336 460621952 526425088 921243904 1052850176 1842487808 2105700352 3684975616 7369951232 14739902464