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12151157832 = 233211211812
BaseRepresentation
bin10110101000100001…
…11111010001001000
31011100211112202220200
423110100333101020
5144341144022312
65325425252200
7610055065062
oct132420772110
934324482820
1012151157832
115176014800
122431494060
1311b857a728
14833b28732
154b1b7d0dc
hex2d443f448

12151157832 has 108 divisors (see below), whose sum is σ = 36203781705. Its totient is φ = 3679051200.

The previous prime is 12151157819. The next prime is 12151157833. The reversal of 12151157832 is 23875115121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12151157832 is a `hidden beast` number, since 1 + 2 + 1 + 51 + 1 + 578 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9425691396 + 2725466436 = 97086^2 + 52206^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=77946.

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

It is not an unprimeable number, because it can be changed into a prime (12151157833) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10288282 + ... + 10289462.

Almost surely, 212151157832 is an apocalyptic number.

12151157832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12151157832

12151157832 is an abundant number, since it is smaller than the sum of its proper divisors (24052623873).

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

12151157832 is a wasteful number, since it uses less digits than its factorization.

12151157832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 1197 counting only the distinct ones).

The product of its digits is 16800, while the sum is 36.

The spelling of 12151157832 in words is "twelve billion, one hundred fifty-one million, one hundred fifty-seven thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1181 1452 2178 2362 2904 3543 4356 4724 7086 8712 9448 10629 12991 14172 21258 25982 28344 38973 42516 51964 77946 85032 103928 116919 142901 155892 233838 285802 311784 428703 467676 571604 857406 935352 1143208 1286109 1394761 1714812 2572218 2789522 3429624 4184283 5144436 5579044 8368566 10288872 11158088 12552849 15342371 16737132 25105698 30684742 33474264 46027113 50211396 61369484 92054226 100422792 122738968 138081339 168766081 184108452 276162678 337532162 368216904 506298243 552325356 675064324 1012596486 1104650712 1350128648 1518894729 2025192972 3037789458 4050385944 6075578916 12151157832