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152941214608 = 24713314198087
BaseRepresentation
bin1000111001110000000…
…0011011101110010000
3112121202201212200210221
42032130000123232100
510001210422331413
6154132113002424
714023011605650
oct2163400335620
9477681780727
10152941214608
1159953368226
1225783853414
1311564a20830
14758c254360
153ea1e1068d
hex239c01bb90

152941214608 has 160 divisors (see below), whose sum is σ = 377415843840. Its totient is φ = 58405501440.

The previous prime is 152941214603. The next prime is 152941214611. The reversal of 152941214608 is 806412149251.

It is not an unprimeable number, because it can be changed into a prime (152941214603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18907941 + ... + 18916027.

It is an arithmetic number, because the mean of its divisors is an integer number (2358849024).

Almost surely, 2152941214608 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 152941214608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188707921920).

152941214608 is an abundant number, since it is smaller than the sum of its proper divisors (224474629232).

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

152941214608 is a wasteful number, since it uses less digits than its factorization.

152941214608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8565 (or 8559 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 152941214608 in words is "one hundred fifty-two billion, nine hundred forty-one million, two hundred fourteen thousand, six hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 364 403 419 434 496 728 806 838 868 1456 1612 1676 1736 2821 2933 3224 3352 3472 5447 5642 5866 6448 6704 8087 10894 11284 11732 12989 16174 21788 22568 23464 25978 32348 38129 43576 45136 46928 51956 56609 64696 76258 87152 90923 103912 105131 113218 129392 152516 168857 181846 207824 210262 226436 250697 305032 337714 363692 420524 452872 501394 610064 675428 727384 735917 841048 905744 1002788 1181999 1350856 1454768 1471834 1682096 1754879 2005576 2363998 2701712 2943668 3259061 3388453 3509758 4011152 4727996 5887336 6518122 6776906 7019516 9455992 11774672 13036244 13553812 14039032 18911984 22813427 23719171 26072488 27107624 28078064 44049889 45626854 47438342 52144976 54215248 88099778 91253708 94876684 105042043 176199556 182507416 189753368 210084086 308349223 352399112 365014832 379506736 420168172 616698446 704798224 735294301 840336344 1233396892 1365546559 1470588602 1680672688 2466793784 2731093118 2941177204 4933587568 5462186236 5882354408 9558825913 10924372472 11764708816 19117651826 21848744944 38235303652 76470607304 152941214608