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138588055376 = 24437314291931
BaseRepresentation
bin1000000100010001111…
…1011110011101010000
3111020201102212122211212
42001010133132131100
54232312020233001
6143355542555252
713004225014451
oct2010437363520
9436642778755
10138588055376
1153858387261
1222a38a38b28
13100b81c07c4
1469c9ccb128
153911cbc7bb
hex20447de750

138588055376 has 80 divisors (see below), whose sum is σ = 278861943360. Its totient is φ = 66674119680.

The previous prime is 138588055339. The next prime is 138588055387. The reversal of 138588055376 is 673550885831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71769131 + ... + 71771061.

It is an arithmetic number, because the mean of its divisors is an integer number (3485774292).

Almost surely, 2138588055376 is an apocalyptic number.

138588055376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138588055376 is an abundant number, since it is smaller than the sum of its proper divisors (140273887984).

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

138588055376 is a wasteful number, since it uses less digits than its factorization.

138588055376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 59.

The spelling of 138588055376 in words is "one hundred thirty-eight billion, five hundred eighty-eight million, fifty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 43 73 86 146 172 292 344 584 688 1168 1429 1931 2858 3139 3862 5716 6278 7724 11432 12556 15448 22864 25112 30896 50224 61447 83033 104317 122894 140963 166066 208634 245788 281926 332132 417268 491576 563852 664264 834536 983152 1127704 1328528 1669072 2255408 2759399 4485631 5518798 6061409 8971262 11037596 12122818 17942524 22075192 24245636 35885048 44150384 48491272 71770096 96982544 118654157 201436127 237308314 402872254 474616628 805744508 949233256 1611489016 1898466512 3222978032 8661753461 17323506922 34647013844 69294027688 138588055376