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138980963464 = 237172926319141
BaseRepresentation
bin1000000101101111101…
…0010011010010001000
3111021201211012110102021
42001123322103102020
54234113111312324
6143502540214224
713020035461210
oct2013372232210
9437654173367
10138980963464
1153a3a148992
1222b2853a374
131014b71b0b5
146a26167240
15393652eae4
hex205be93488

138980963464 has 128 divisors (see below), whose sum is σ = 327466022400. Its totient is φ = 53917839360.

The previous prime is 138980963423. The next prime is 138980963483. The reversal of 138980963464 is 464369089831.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7251334 + ... + 7270474.

It is an arithmetic number, because the mean of its divisors is an integer number (2558328300).

Almost surely, 2138980963464 is an apocalyptic number.

138980963464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138980963464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163733011200).

138980963464 is an abundant number, since it is smaller than the sum of its proper divisors (188485058936).

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

138980963464 is a wasteful number, since it uses less digits than its factorization.

138980963464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19463 (or 19459 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 61.

The spelling of 138980963464 in words is "one hundred thirty-eight billion, nine hundred eighty million, nine hundred sixty-three thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 17 28 29 34 56 58 68 116 119 136 203 232 238 263 406 476 493 526 812 952 986 1052 1624 1841 1972 2104 3451 3682 3944 4471 6902 7364 7627 8942 13804 14728 15254 17884 19141 27608 30508 31297 35768 38282 53389 61016 62594 76564 106778 125188 129659 133987 153128 213556 250376 259318 267974 325397 427112 518636 535948 555089 650794 907613 1037272 1071896 1110178 1301588 1815226 2220356 2277779 2603176 3630452 3885623 4440712 4555558 5034083 7260904 7771246 9111116 9436513 10068166 15542492 18222232 18873026 20136332 31084984 35238581 37746052 40272664 66055591 70477162 75492104 85579411 132111182 140954324 145988407 171158822 264222364 281908648 291976814 342317644 528444728 583953628 599055877 684635288 1021918849 1167907256 1198111754 2043837698 2396223508 2481802919 4087675396 4792447016 4963605838 8175350792 9927211676 17372620433 19854423352 34745240866 69490481732 138980963464