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132672883351428 = 223271372138370359
BaseRepresentation
bin11110001010101001010000…
…000101010101111110000100
3122101202101220100121001200100
4132022221100011111332010
5114342203031114221203
61150101025312244100
736642204505264560
oct3612512005257604
9571671810531610
10132672883351428
1139301287971242
1212a68a88240630
135904ccb3832b4
1424a958a8286a0
1510511d5c05ea3
hex78aa50155f84

132672883351428 has 72 divisors (see below), whose sum is σ = 383305162181760. Its totient is φ = 37903774446720.

The previous prime is 132672883351397. The next prime is 132672883351429. The reversal of 132672883351428 is 824153388276231.

132672883351428 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 7 + 2 + 88 + 33 + 514 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (132672883351429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15727488 + ... + 22642871.

It is an arithmetic number, because the mean of its divisors is an integer number (5323682808080).

Almost surely, 2132672883351428 is an apocalyptic number.

132672883351428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132672883351428 is an abundant number, since it is smaller than the sum of its proper divisors (250632278830332).

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

132672883351428 is a wasteful number, since it uses less digits than its factorization.

132672883351428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38384097 (or 38384092 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 132672883351428 in words is "one hundred thirty-two trillion, six hundred seventy-two billion, eight hundred eighty-three million, three hundred fifty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 13721 27442 41163 54884 82326 96047 123489 164652 192094 246978 288141 384188 493956 576282 864423 1152564 1728846 3457692 38370359 76740718 115111077 153481436 230222154 268592513 345333231 460444308 537185026 690666462 805777539 1074370052 1381332924 1611555078 2417332617 3223110156 4834665234 9669330468 526479695839 1052959391678 1579439087517 2105918783356 3158878175034 3685357870873 4738317262551 6317756350068 7370715741746 9476634525102 11056073612619 14741431483492 18953269050204 22112147225238 33168220837857 44224294450476 66336441675714 132672883351428