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14174357664 = 253314762889
BaseRepresentation
bin11010011001101101…
…11000100010100000
31100120211112222022210
431030312320202200
5213012113421124
610302301402120
71011153023625
oct151466704240
940524488283
1014174357664
116014067785
1228b6b69340
13144b7887ac
1498670234c
1557e5c4a29
hex34cdb88a0

14174357664 has 48 divisors (see below), whose sum is σ = 38407944960. Its totient is φ = 4572372480.

The previous prime is 14174357663. The next prime is 14174357689. The reversal of 14174357664 is 46675347141.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (14174357663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2378469 + ... + 2384420.

It is an arithmetic number, because the mean of its divisors is an integer number (800165520).

Almost surely, 214174357664 is an apocalyptic number.

It is an amenable number.

14174357664 is an abundant number, since it is smaller than the sum of its proper divisors (24233587296).

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

14174357664 is a wasteful number, since it uses less digits than its factorization.

14174357664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762933 (or 4762925 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The spelling of 14174357664 in words is "fourteen billion, one hundred seventy-four million, three hundred fifty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 4762889 9525778 14288667 19051556 28577334 38103112 57154668 76206224 114309336 147649559 152412448 228618672 295299118 442948677 457237344 590598236 885897354 1181196472 1771794708 2362392944 3543589416 4724785888 7087178832 14174357664