Search a number
-
+
132150506516292 = 223117191626785597
BaseRepresentation
bin11110000011000010101111…
…111111110110111101000100
3122022220110120000102100100010
4132003002233333312331010
5114310123214132010132
61145021034331550220
736556362513404625
oct3603025777667504
9568813500370303
10132150506516292
113911a795854370
12129a37a12bb370
13589797c2c2a94
14248c1937ada4c
1510428108596cc
hex7830afff6f44

132150506516292 has 96 divisors (see below), whose sum is σ = 336875599226880. Its totient is φ = 39986986273920.

The previous prime is 132150506516291. The next prime is 132150506516387. The reversal of 132150506516292 is 292615605051231.

It is a super-2 number, since 2×1321505065162922 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132150506516291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1543825638 + ... + 1543911234.

It is an arithmetic number, because the mean of its divisors is an integer number (3509120825280).

Almost surely, 2132150506516292 is an apocalyptic number.

132150506516292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132150506516292 is an abundant number, since it is smaller than the sum of its proper divisors (204725092710588).

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

132150506516292 is a wasteful number, since it uses less digits than its factorization.

132150506516292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102601 (or 102599 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 132150506516292 in words is "one hundred thirty-two trillion, one hundred fifty billion, five hundred six million, five hundred sixteen thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 719 1438 2157 2876 4314 7909 8628 15818 16267 23727 31636 32534 47454 48801 65068 85597 94908 97602 171194 178937 195204 256791 342388 357874 513582 536811 715748 941567 1027164 1073622 1883134 2147244 2824701 3766268 5649402 11298804 11695973 23391946 35087919 46783892 61544243 70175838 123088486 128655703 140351676 184632729 246176972 257311406 369265458 385967109 514622812 676986673 738530916 771934218 1353973346 1392406399 1543868436 2030960019 2707946692 2784812798 4061920038 4177219197 5569625596 8123840076 8354438394 15316470389 16708876788 30632940778 45949411167 61265881556 91898822334 183797644668 1001140200881 2002280401762 3003420602643 4004560803524 6006841205286 11012542209691 12013682410572 22025084419382 33037626629073 44050168838764 66075253258146 132150506516292