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152608421238 = 237133122739719
BaseRepresentation
bin1000111000100000101…
…0111011010101110110
3112120220112200001010120
42032020022323111312
510000020223434423
6154035104032410
714011531114620
oct2161012732566
9476815601116
10152608421238
11597a2525689
12256b0302706
1311510ab0490
147559d85c10
153e82ac4ee3
hex23882bb576

152608421238 has 128 divisors (see below), whose sum is σ = 389487329280. Its totient is φ = 38777477760.

The previous prime is 152608421213. The next prime is 152608421239. The reversal of 152608421238 is 832124806251.

152608421238 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 152608421238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152608421239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3822343 + ... + 3862061.

It is an arithmetic number, because the mean of its divisors is an integer number (3042869760).

Almost surely, 2152608421238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152608421238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194743664640).

152608421238 is an abundant number, since it is smaller than the sum of its proper divisors (236878908042).

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

152608421238 is a wasteful number, since it uses less digits than its factorization.

152608421238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40002.

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 152608421238 in words is "one hundred fifty-two billion, six hundred eight million, four hundred twenty-one thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 182 186 217 227 273 403 434 454 546 651 681 806 1209 1302 1362 1589 2418 2821 2951 3178 4767 5642 5902 7037 8463 8853 9534 14074 16926 17706 20657 21111 39719 41314 42222 49259 61971 79438 91481 98518 119157 123942 147777 182962 238314 274443 278033 295554 516347 548886 556066 640367 834099 1032694 1231289 1280734 1549041 1668198 1921101 2462578 3098082 3614429 3693867 3842202 7228858 7387734 8619023 9016213 10843287 16006757 17238046 18032426 21686574 25857069 27048639 32013514 48020271 51714138 54097278 63113491 96040542 112047299 117210769 126226982 189340473 224094598 234421538 279502603 336141897 351632307 378680946 559005206 672283794 703264614 820475383 838507809 1640950766 1677015618 1956518221 2461426149 3633533839 3913036442 4922852298 5869554663 7267067678 10900601517 11739109326 21801203034 25434736873 50869473746 76304210619 152608421238