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13470086304 = 2532349913367
BaseRepresentation
bin11001000101110000…
…10011010010100000
31021202202100021122100
430202320103102200
5210041320230204
610104342410400
7654541562433
oct144270232240
937682307570
1013470086304
115792570234
12273b130a00
1313688b218c
1491ad7581a
1553c85ba39
hex322e134a0

13470086304 has 72 divisors (see below), whose sum is σ = 38319372000. Its totient is φ = 4488409728.

The previous prime is 13470086281. The next prime is 13470086327. The reversal of 13470086304 is 40368007431.

13470086304 is a `hidden beast` number, since 1 + 347 + 0 + 0 + 8 + 6 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (13470086281) and next prime (13470086327).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1001029 + ... + 1014395.

It is an arithmetic number, because the mean of its divisors is an integer number (532213500).

Almost surely, 213470086304 is an apocalyptic number.

It is an amenable number.

13470086304 is an abundant number, since it is smaller than the sum of its proper divisors (24849285696).

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

13470086304 is a wasteful number, since it uses less digits than its factorization.

13470086304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16882 (or 16871 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13470086304 in words is "thirteen billion, four hundred seventy million, eighty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3499 6998 10497 13367 13996 20994 26734 27992 31491 40101 41988 53468 55984 62982 80202 83976 106936 111968 120303 125964 160404 167952 213872 240606 251928 320808 335904 427744 481212 503856 641616 962424 1007712 1283232 1924848 3849696 46771133 93542266 140313399 187084532 280626798 374169064 420940197 561253596 748338128 841880394 1122507192 1496676256 1683760788 2245014384 3367521576 4490028768 6735043152 13470086304