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151334240552 = 231129591099221
BaseRepresentation
bin1000110011110000111…
…0010100000100101000
3112110121202001221211022
42030330032110010220
54434413031144202
6153304425552012
713635126551255
oct2147416240450
9473552057738
10151334240552
11591a92628a0
12253b5645608
1311369b15601
147478a6642c
153e0acd4ea2
hex233c394128

151334240552 has 128 divisors (see below), whose sum is σ = 328672080000. Its totient is φ = 64684569600.

The previous prime is 151334240543. The next prime is 151334240609. The reversal of 151334240552 is 255042433151.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16407302 + ... + 16416522.

It is an arithmetic number, because the mean of its divisors is an integer number (2567750625).

Almost surely, 2151334240552 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 151334240552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164336040000).

151334240552 is an abundant number, since it is smaller than the sum of its proper divisors (177337839448).

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

151334240552 is a wasteful number, since it uses less digits than its factorization.

151334240552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9435 (or 9431 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 151334240552 in words is "one hundred fifty-one billion, three hundred thirty-four million, two hundred forty thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 22 29 44 58 59 88 109 116 118 218 232 236 319 436 472 638 649 872 1199 1276 1298 1711 2398 2552 2596 3161 3422 4796 5192 6322 6431 6844 9221 9592 12644 12862 13688 18442 18821 25288 25724 34771 36884 37642 51448 69542 70741 73768 75284 101431 139084 141482 150568 186499 202862 267409 278168 282964 372998 405724 534818 544039 565928 745996 811448 1005089 1069636 1088078 1491992 2010178 2051489 2139272 2176156 2941499 4020356 4102978 4352312 5882998 5984429 8040712 8205956 11055979 11765996 11968858 15777131 16411912 22111958 23531992 23937716 29147581 31554262 44223916 47875432 58295162 59300251 63108524 88447832 116590324 118600502 126217048 173548441 233180648 237201004 320623391 347096882 474402008 641246782 652302761 694193764 1282493564 1304605522 1388387528 1719707279 2564987128 2609211044 3439414558 5218422088 6878829116 13757658232 18916780069 37833560138 75667120276 151334240552