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132979949184 = 2731779257857
BaseRepresentation
bin111101111011000111…
…0001111111010000000
3110201020121020100102010
41323312032033322000
54134320331333214
6141031245452520
712415236626565
oct1736616177200
9421217210363
10132979949184
115143a795055
1221932871140
13c703388784
14661717286c
1536d4796659
hex1ef638fe80

132979949184 has 128 divisors (see below), whose sum is σ = 378741830400. Its totient is φ = 41190948864.

The previous prime is 132979949173. The next prime is 132979949189. The reversal of 132979949184 is 481949979231.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (132979949189) 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, 386784 + ... + 644640.

It is an arithmetic number, because the mean of its divisors is an integer number (2958920550).

Almost surely, 2132979949184 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 132979949184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189370915200).

132979949184 is an abundant number, since it is smaller than the sum of its proper divisors (245761881216).

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

132979949184 is a wasteful number, since it uses less digits than its factorization.

132979949184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257970 (or 257958 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 66.

The spelling of 132979949184 in words is "one hundred thirty-two billion, nine hundred seventy-nine million, nine hundred forty-nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 79 96 102 128 136 158 192 204 237 272 316 384 408 474 544 632 816 948 1088 1264 1343 1632 1896 2176 2528 2686 3264 3792 4029 5056 5372 6528 7584 8058 10112 10744 15168 16116 21488 30336 32232 42976 64464 85952 128928 171904 257856 257857 515712 515714 773571 1031428 1547142 2062856 3094284 4125712 4383569 6188568 8251424 8767138 12377136 13150707 16502848 17534276 20370703 24754272 26301414 33005696 35068552 40741406 49508544 52602828 61112109 70137104 81482812 99017088 105205656 122224218 140274208 162965624 210411312 244448436 280548416 325931248 346301951 420822624 488896872 561096832 651862496 692603902 841645248 977793744 1038905853 1303724992 1385207804 1683290496 1955587488 2077811706 2607449984 2770415608 3911174976 4155623412 5540831216 7822349952 8311246824 11081662432 16622493648 22163324864 33244987296 44326649728 66489974592 132979949184