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13430955664 = 247241392
BaseRepresentation
bin11001000001000110…
…00001111010010000
31021200000201020111101
430200203001322100
5210001311040124
610100423554144
7653555145100
oct144043017220
937600636441
1013430955664
115772473865
122729bbb954
131360761259
14915aab200
155391cc644
hex3208c1e90

13430955664 has 45 divisors (see below), whose sum is σ = 30278359587. Its totient is φ = 5754733152.

The previous prime is 13430955653. The next prime is 13430955679. The reversal of 13430955664 is 46655903431.

The square root of 13430955664 is 115892.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3242907 + ... + 3247045.

Almost surely, 213430955664 is an apocalyptic number.

13430955664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13430955664 is the 115892-nd square number.

It is an amenable number.

13430955664 is an abundant number, since it is smaller than the sum of its proper divisors (16847403923).

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

13430955664 is an frugal number, since it uses more digits than its factorization.

13430955664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8300 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 13430955664 in words is "thirteen billion, four hundred thirty million, nine hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 4139 8278 16556 28973 33112 57946 66224 115892 202811 231784 405622 463568 811244 1622488 3244976 17131321 34262642 68525284 119919247 137050568 239838494 274101136 479676988 839434729 959353976 1678869458 1918707952 3357738916 6715477832 13430955664