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11347506432 = 2834547237
BaseRepresentation
bin10101001000101110…
…10011010100000000
31002021211100001110000
422210113103110000
5141214430201212
65114000240000
7551126133063
oct124427232400
932254301400
1011347506432
1148a340a599
122248310000
1310bac19862
147990cc8da
154663341dc
hex2a45d3500

11347506432 has 90 divisors (see below), whose sum is σ = 33836272778. Its totient is φ = 3782495232.

The previous prime is 11347506377. The next prime is 11347506461. The reversal of 11347506432 is 23460574311.

11347506432 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 7 + 5 + 0 + 643 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10719703296 + 627803136 = 103536^2 + 25056^2 .

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

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 252883 + ... + 294354.

Almost surely, 211347506432 is an apocalyptic number.

11347506432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11347506432 is an abundant number, since it is smaller than the sum of its proper divisors (22488766346).

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

11347506432 is an frugal number, since it uses more digits than its factorization.

11347506432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547265 (or 547242 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 11347506432 in words is "eleven billion, three hundred forty-seven million, five hundred six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 547237 1094474 1641711 2188948 3283422 4377896 4925133 6566844 8755792 9850266 13133688 14775399 17511584 19700532 26267376 29550798 35023168 39401064 44326197 52534752 59101596 70046336 78802128 88652394 105069504 118203192 140092672 157604256 177304788 210139008 236406384 315208512 354609576 420278016 472812768 630417024 709219152 945625536 1260834048 1418438304 1891251072 2836876608 3782502144 5673753216 11347506432