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132925180352 = 26174316317431
BaseRepresentation
bin111101111001011110…
…1010100100111000000
3110201002210011210200212
41323302331110213000
54134212321232402
6141022011533252
712414003250646
oct1736275244700
9421083153625
10132925180352
1151411887458
122191845a228
13c6c4c20893
14660db97196
1536cea78952
hex1ef2f549c0

132925180352 has 112 divisors (see below), whose sum is σ = 287554367232. Its totient is φ = 60719984640.

The previous prime is 132925180343. The next prime is 132925180357. The reversal of 132925180352 is 253081529231.

It is a super-2 number, since 2×1329251803522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132925180357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7617077 + ... + 7634507.

Almost surely, 2132925180352 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 132925180352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143777183616).

132925180352 is an abundant number, since it is smaller than the sum of its proper divisors (154629186880).

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

132925180352 is a wasteful number, since it uses less digits than its factorization.

132925180352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17666 (or 17656 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The spelling of 132925180352 in words is "one hundred thirty-two billion, nine hundred twenty-five million, one hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 136 163 172 272 326 344 544 652 688 731 1088 1304 1376 1462 2608 2752 2771 2924 5216 5542 5848 7009 10432 11084 11696 14018 17431 22168 23392 28036 34862 44336 46784 56072 69724 88672 112144 119153 139448 177344 224288 238306 278896 296327 448576 476612 557792 592654 749533 953224 1115584 1185308 1499066 1906448 2370616 2841253 2998132 3812896 4741232 5682506 5996264 7625792 9482464 11365012 11992528 12742061 18964928 22730024 23985056 25484122 45460048 47970112 48301301 50968244 90920096 96602602 101936488 122173879 181840192 193205204 203872976 244347758 386410408 407745952 488695516 772820816 815491904 977391032 1545641632 1954782064 2076955943 3091283264 3909564128 4153911886 7819128256 8307823772 16615647544 33231295088 66462590176 132925180352