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138010632760 = 235711133446819
BaseRepresentation
bin1000000010001000010…
…0110010001000111000
3111012020012100112221001
42000202010302020320
54230121210222020
6143222354454344
712654014010550
oct2004204621070
9435205315831
10138010632760
115359144a090
12228b75943b4
131002569b510
146973340160
1538cb25e50a
hex2022132238

138010632760 has 128 divisors (see below), whose sum is σ = 416927347200. Its totient is φ = 39707343360.

The previous prime is 138010632751. The next prime is 138010632779. The reversal of 138010632760 is 67236010831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1683370 + ... + 1763449.

It is an arithmetic number, because the mean of its divisors is an integer number (3257244900).

Almost surely, 2138010632760 is an apocalyptic number.

138010632760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138010632760 is an abundant number, since it is smaller than the sum of its proper divisors (278916714440).

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

138010632760 is a wasteful number, since it uses less digits than its factorization.

138010632760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446861 (or 3446857 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 138010632760 in words is "one hundred thirty-eight billion, ten million, six hundred thirty-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 3446819 6893638 13787276 17234095 24127733 27574552 34468190 37915009 44808647 48255466 68936380 75830018 89617294 96510932 120638665 137872760 151660036 179234588 189575045 193021864 224043235 241277330 265405063 303320072 313660529 358469176 379150090 448086470 482554660 492895117 530810126 627321058 758300180 896172940 965109320 985790234 1061620252 1254642116 1327025315 1516600360 1568302645 1792345880 1971580468 2123240504 2464475585 2509284232 2654050630 3136605290 3450265819 3943160936 4928951170 5308101260 6273210580 6900531638 9857902340 10616202520 12546421160 13801063276 17251329095 19715804680 27602126552 34502658190 69005316380 138010632760