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152115153012 = 2235337464383
BaseRepresentation
bin1000110110101011000…
…1010000100001110100
3112112122011111102100000
42031222301100201310
54443012434344022
6153514123351300
713663361316054
oct2155261204164
9475564442300
10152115153012
115956a046999
1225593082530
13114628444a4
147510663564
153e5463b6ac
hex236ac50874

152115153012 has 72 divisors (see below), whose sum is σ = 399938646016. Its totient is φ = 50554482048.

The previous prime is 152115153011. The next prime is 152115153023. The reversal of 152115153012 is 210351511251.

It is a happy number.

152115153012 is a `hidden beast` number, since 1 + 5 + 2 + 115 + 1 + 530 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152115153011) 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, 95373 + ... + 559755.

Almost surely, 2152115153012 is an apocalyptic number.

152115153012 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 152115153012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199969323008).

152115153012 is an abundant number, since it is smaller than the sum of its proper divisors (247823493004).

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

152115153012 is a wasteful number, since it uses less digits than its factorization.

152115153012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464739 (or 464725 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

Adding to 152115153012 its reverse (210351511251), we get a palindrome (362466664263).

The spelling of 152115153012 in words is "one hundred fifty-two billion, one hundred fifteen million, one hundred fifty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 337 486 674 972 1011 1348 2022 3033 4044 6066 9099 12132 18198 27297 36396 54594 81891 109188 163782 327564 464383 928766 1393149 1857532 2786298 4179447 5572596 8358894 12538341 16717788 25076682 37615023 50153364 75230046 112845069 150460092 156497071 225690138 312994142 451380276 469491213 625988284 938982426 1408473639 1877964852 2816947278 4225420917 5633894556 8450841834 12676262751 16901683668 25352525502 38028788253 50705051004 76057576506 152115153012