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132672152564730 = 232519349115556019
BaseRepresentation
bin11110001010101000100100…
…100001100111001111111010
3122101202100000102111020210100
4132022220210201213033322
5114342200032024032410
61150100425005100230
736642150422560242
oct3612504441471772
9571670012436710
10132672152564730
1139300a42404399
1212a68903557676
135904c12b54b2c
1424a951b758b22
1510511919a18c0
hex78aa248673fa

132672152564730 has 96 divisors (see below), whose sum is σ = 347441093288640. Its totient is φ = 35124244162560.

The previous prime is 132672152564729. The next prime is 132672152564741. The reversal of 132672152564730 is 37465251276231.

132672152564730 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 7 + 2 + 1 + 5 + 2 + 564 + 73 + 0 = 666.

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, 750661 + ... + 16306679.

It is an arithmetic number, because the mean of its divisors is an integer number (3619178055090).

Almost surely, 2132672152564730 is an apocalyptic number.

132672152564730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132672152564730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173720546644320).

132672152564730 is an abundant number, since it is smaller than the sum of its proper divisors (214768940723910).

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

132672152564730 is a wasteful number, since it uses less digits than its factorization.

132672152564730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15556716 (or 15556713 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 132672152564730 in words is "one hundred thirty-two trillion, six hundred seventy-two billion, one hundred fifty-two million, five hundred sixty-four thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 193 386 491 579 965 982 1158 1473 1737 1930 2455 2895 2946 3474 4419 4910 5790 7365 8685 8838 14730 17370 22095 44190 94763 189526 284289 473815 568578 852867 947630 1421445 1705734 2842890 4264335 8528670 15556019 31112038 46668057 77780095 93336114 140004171 155560190 233340285 280008342 466680570 700020855 1400041710 3002311667 6004623334 7638005329 9006935001 15011558335 15276010658 18013870002 22914015987 27020805003 30023116670 38190026645 45034675005 45828031974 54041610006 68742047961 76380053290 90069350010 114570079935 135104025015 137484095922 229140159870 270208050030 343710239805 687420479610 1474135028497 2948270056994 4422405085491 7370675142485 8844810170982 13267215256473 14741350284970 22112025427455 26534430512946 44224050854910 66336076282365 132672152564730