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153402112152 = 233217791586437
BaseRepresentation
bin1000111011011101111…
…0100111100010011000
3112122221212010201101100
42032313132213202120
510003131420042102
6154245535351400
714040306303402
oct2166736474230
9478855121340
10153402112152
115a06a547393
1225892082560
1311609364783
1475d354bb72
153ecc602a1c
hex23b77a7898

153402112152 has 96 divisors (see below), whose sum is σ = 445471790400. Its totient is φ = 47516931072.

The previous prime is 153402112133. The next prime is 153402112153. The reversal of 153402112152 is 251211204351.

It is a happy number.

153402112152 is a `hidden beast` number, since 1 + 534 + 0 + 2 + 1 + 121 + 5 + 2 = 666.

It is a super-2 number, since 2×1534021121522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153402112153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696523 + ... + 889914.

It is an arithmetic number, because the mean of its divisors is an integer number (4640331150).

Almost surely, 2153402112152 is an apocalyptic number.

153402112152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153402112152 is an abundant number, since it is smaller than the sum of its proper divisors (292069678248).

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

153402112152 is a wasteful number, since it uses less digits than its factorization.

153402112152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586545 (or 1586538 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 153402112152 in words is "one hundred fifty-three billion, four hundred two million, one hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 79 102 136 153 158 204 237 306 316 408 474 612 632 711 948 1224 1343 1422 1896 2686 2844 4029 5372 5688 8058 10744 12087 16116 24174 32232 48348 96696 1586437 3172874 4759311 6345748 9518622 12691496 14277933 19037244 26969429 28555866 38074488 53938858 57111732 80908287 107877716 114223464 125328523 161816574 215755432 242724861 250657046 323633148 375985569 485449722 501314092 647266296 751971138 970899444 1002628184 1127956707 1503942276 1941798888 2130584891 2255913414 3007884552 4261169782 4511826828 6391754673 8522339564 9023653656 12783509346 17044679128 19175264019 25567018692 38350528038 51134037384 76701056076 153402112152