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152453305152 = 26321391904143
BaseRepresentation
bin1000110111111011101…
…1001101001101000000
3112120111201210022212100
42031332323031031000
54444211021231102
6154011443230400
714004635466261
oct2157673151500
9476451708770
10152453305152
1159722a09675
1225668378400
13114b790ca05
147543528968
153e74184a1c
hex237eecd340

152453305152 has 84 divisors (see below), whose sum is σ = 440123844160. Its totient is φ = 50452146432.

The previous prime is 152453305141. The next prime is 152453305157. The reversal of 152453305152 is 251503354251.

152453305152 is a `hidden beast` number, since 1 + 5 + 24 + 533 + 0 + 51 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152453305157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 872008 + ... + 1032135.

Almost surely, 2152453305152 is an apocalyptic number.

152453305152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152453305152 is an abundant number, since it is smaller than the sum of its proper divisors (287670539008).

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

152453305152 is a wasteful number, since it uses less digits than its factorization.

152453305152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904300 (or 1904287 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 152453305152 in words is "one hundred fifty-two billion, four hundred fifty-three million, three hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 139 144 192 278 288 417 556 576 834 1112 1251 1668 2224 2502 3336 4448 5004 6672 8896 10008 13344 20016 26688 40032 80064 1904143 3808286 5712429 7616572 11424858 15233144 17137287 22849716 30466288 34274574 45699432 60932576 68549148 91398864 121865152 137098296 182797728 264675877 274196592 365595456 529351754 548393184 794027631 1058703508 1096786368 1588055262 2117407016 2382082893 3176110524 4234814032 4764165786 6352221048 8469628064 9528331572 12704442096 16939256128 19056663144 25408884192 38113326288 50817768384 76226652576 152453305152