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132150634560126 = 232713719112208683
BaseRepresentation
bin11110000011000010110111…
…101000010011101001111110
3122022220110212221100122110100
4132003002313220103221332
5114310123444421411001
61145021055144221530
736556365626640360
oct3603026750235176
9568813787318410
10132150634560126
113911a85105a616
12129a381816a8a6
13589799c9a5070
14248c1a67c0d30
15104281bbed586
hex7830b7a13a7e

132150634560126 has 96 divisors (see below), whose sum is σ = 352891822832640. Its totient is φ = 34804440148032.

The previous prime is 132150634560079. The next prime is 132150634560151. The reversal of 132150634560126 is 621065436051231.

It is a happy number.

132150634560126 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 0 + 6 + 34 + 5 + 601 + 2 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54926620 + ... + 57282063.

It is an arithmetic number, because the mean of its divisors is an integer number (3675956487840).

Almost surely, 2132150634560126 is an apocalyptic number.

132150634560126 is an abundant number, since it is smaller than the sum of its proper divisors (220741188272514).

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

132150634560126 is a wasteful number, since it uses less digits than its factorization.

132150634560126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112209430 (or 112209427 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 132150634560126 in words is "one hundred thirty-two trillion, one hundred fifty billion, six hundred thirty-four million, five hundred sixty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 719 819 1438 1638 2157 4314 5033 6471 9347 10066 12942 15099 18694 28041 30198 45297 56082 65429 84123 90594 130858 168246 196287 392574 588861 1177722 112208683 224417366 336626049 673252098 785460781 1009878147 1458712879 1570921562 2019756294 2356382343 2917425758 4376138637 4712764686 7069147029 8752277274 10210990153 13128415911 14138294058 20421980306 26256831822 30632970459 61265940918 80678043077 91898911377 161356086154 183797822754 242034129231 484068258462 564746301539 726102387693 1048814560001 1129492603078 1452204775386 1694238904617 2097629120002 3146443680003 3388477809234 5082716713851 6292887360006 7341701920007 9439331040009 10165433427702 14683403840014 18878662080018 22025105760021 44050211520042 66075317280063 132150634560126