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150570577134 = 23471157199419
BaseRepresentation
bin1000110000111010110…
…1001010110011101110
3112101122112002211120000
42030032231022303232
54431332031432014
6153100550005130
713610164534305
oct2141655126356
9471575084500
10150570577134
11589471901aa
12252219467a6
1311277845973
14740547943c
153db3c39509
hex230eb4acee

150570577134 has 160 divisors (see below), whose sum is σ = 346876992000. Its totient is φ = 48804275520.

The previous prime is 150570577133. The next prime is 150570577181. The reversal of 150570577134 is 431775075051.

150570577134 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 70 + 577 + 1 + 3 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 150570577134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150570577133) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 359356777 + ... + 359357195.

It is an arithmetic number, because the mean of its divisors is an integer number (2167981200).

Almost surely, 2150570577134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150570577134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173438496000).

150570577134 is an abundant number, since it is smaller than the sum of its proper divisors (196306414866).

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

150570577134 is a wasteful number, since it uses less digits than its factorization.

150570577134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 514500, while the sum is 45.

The spelling of 150570577134 in words is "one hundred fifty billion, five hundred seventy million, five hundred seventy-seven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 157 162 199 213 314 398 419 426 471 597 639 838 942 1194 1257 1278 1413 1791 1917 2514 2826 3582 3771 3834 4239 5373 5751 7542 8478 10746 11147 11313 11502 12717 14129 16119 22294 22626 25434 28258 29749 31243 32238 33441 33939 42387 59498 62486 65783 66882 67878 83381 84774 89247 93729 100323 127161 131566 166762 178494 187458 197349 200646 250143 254322 267741 281187 300969 381483 394698 500286 535482 562374 592047 601938 750429 762966 803223 843561 902907 1144449 1184094 1500858 1606446 1687122 1776141 1805814 2218253 2251287 2288898 2409669 2530683 3552282 4436506 4502574 4670593 4819338 5061366 5328423 5920051 6654759 6753861 9341186 10656846 11840102 13090817 13309518 13507722 14011779 17760153 19964277 26181634 28023558 35520306 39272451 39928554 42035337 53280459 59892831 78544902 84070674 106560918 117817353 119785662 126106011 159841377 179678493 235634706 252212022 319682754 353452059 359356986 378318033 479524131 706904118 756636066 929448007 959048262 1060356177 1858896014 2120712354 2788344021 5576688042 8365032063 16730064126 25095096189 50190192378 75285288567 150570577134