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152030057956 = 22722415875483
BaseRepresentation
bin1000110110010110110…
…0101001010111100100
3112112102020101010212021
42031211230221113210
54442324143323311
6153501443432524
713661306112400
oct2154554512744
9475366333767
10152030057956
11595260057a7
122556a685744
131144b01bc9a
147503232100
153e4be2d171
hex2365b295e4

152030057956 has 72 divisors (see below), whose sum is σ = 311360154336. Its totient is φ = 64763032320.

The previous prime is 152030057929. The next prime is 152030057957. The reversal of 152030057956 is 659750030251.

152030057956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1520300579562 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152030057957) 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 23 ways as a sum of consecutive naturals, for example, 27724791 + ... + 27730273.

It is an arithmetic number, because the mean of its divisors is an integer number (4324446588).

Almost surely, 2152030057956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152030057956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155680077168).

152030057956 is an abundant number, since it is smaller than the sum of its proper divisors (159330096380).

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

152030057956 is a wasteful number, since it uses less digits than its factorization.

152030057956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6329 (or 6320 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 43.

The spelling of 152030057956 in words is "one hundred fifty-two billion, thirty million, fifty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 98 196 241 482 587 964 1174 1687 2348 3374 4109 5483 6748 8218 10966 11809 16436 21932 23618 28763 38381 47236 57526 76762 115052 141467 153524 268667 282934 537334 565868 990269 1074668 1321403 1980538 2642806 3218521 3961076 5285612 6437042 6931883 9249821 12874084 13863766 18499642 22529647 27727532 36999284 45059294 64748747 90118588 129497494 157707529 258994988 315415058 630830116 775663561 1551327122 3102654244 5429644927 10859289854 21718579708 38007514489 76015028978 152030057956