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138778693776 = 24322712735527
BaseRepresentation
bin1000000100111111011…
…0101101000010010000
3111021012201121002120100
42001033312231002100
54233204321200101
6143430513012400
713012031301522
oct2011766550220
9437181532510
10138778693776
1153945a55758
1222a90854100
131011884a9a8
146a07353a12
1539238c7e86
hex204fdad090

138778693776 has 60 divisors (see below), whose sum is σ = 388412844352. Its totient is φ = 46256557248.

The previous prime is 138778693637. The next prime is 138778693793. The reversal of 138778693776 is 677396877831.

It is a happy number.

It is a super-2 number, since 2×1387786937762 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3888525 + ... + 3924051.

Almost surely, 2138778693776 is an apocalyptic number.

138778693776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138778693776 is an abundant number, since it is smaller than the sum of its proper divisors (249634150576).

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

138778693776 is a wasteful number, since it uses less digits than its factorization.

138778693776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62668 (or 62659 counting only the distinct ones).

The product of its digits is 448084224, while the sum is 72.

The spelling of 138778693776 in words is "one hundred thirty-eight billion, seven hundred seventy-eight million, six hundred ninety-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 27127 35527 54254 71054 81381 106581 108508 142108 162762 213162 217016 244143 284216 319743 325524 426324 434032 488286 568432 639486 651048 852648 976572 1278972 1302096 1705296 1953144 2557944 3906288 5115888 963740929 1927481858 2891222787 3854963716 5782445574 7709927432 8673668361 11564891148 15419854864 17347336722 23129782296 34694673444 46259564592 69389346888 138778693776