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132150635416352 = 2574871996160689
BaseRepresentation
bin11110000011000010110111…
…101011100100101100100000
3122022220110212222222010222102
4132003002313223210230200
5114310124000131310402
61145021055214425532
736556365640134560
oct3603026753445440
9568813788863872
10132150635416352
113911a851594943
12129a38185022a8
13589799cc149c7
14248c1a6964da0
15104281bd1c102
hex7830b7ae4b20

132150635416352 has 96 divisors (see below), whose sum is σ = 297969318178560. Its totient is φ = 56515928186880.

The previous prime is 132150635416231. The next prime is 132150635416361. The reversal of 132150635416352 is 253614536051231.

It is a junction number, because it is equal to n+sod(n) for n = 132150635416297 and 132150635416306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2177475224 + ... + 2177535912.

It is an arithmetic number, because the mean of its divisors is an integer number (3103847064360).

Almost surely, 2132150635416352 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 132150635416352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148984659089280).

132150635416352 is an abundant number, since it is smaller than the sum of its proper divisors (165818682762208).

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

132150635416352 is a wasteful number, since it uses less digits than its factorization.

132150635416352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81154 (or 81146 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 47.

The spelling of 132150635416352 in words is "one hundred thirty-two trillion, one hundred fifty billion, six hundred thirty-five million, four hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 487 974 1948 3409 3896 6818 7792 13636 15584 19961 27272 39922 54544 60689 79844 109088 121378 139727 159688 242756 279454 319376 424823 485512 558908 638752 849646 971024 1117816 1699292 1942048 2235632 3398584 4471264 6797168 9721007 13594336 19442014 29555543 38884028 59111086 68047049 77768056 118222172 136094098 155536112 206888801 236444344 272188196 311072224 413777602 472888688 544376392 827555204 945777376 1088752784 1211413129 1655110408 2177505568 2422826258 3310220816 4845652516 6620441632 8479891903 9691305032 16959783806 19382610064 33919567612 38765220128 67839135224 135678270448 271356540896 589958193823 1179916387646 2359832775292 4129707356761 4719665550584 8259414713522 9439331101168 16518829427044 18878662202336 33037658854088 66075317708176 132150635416352