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138177160380 = 223257109664413
BaseRepresentation
bin1000000010110000000…
…0000010010010111100
3111012122210201000212200
42000230000002102330
54230441323113010
6143251104031500
712661105325040
oct2005400022274
9435583630780
10138177160380
115366744a816
1222943302590
131005103617c
14698b4cc020
1538daba5cc0
hex202c0024bc

138177160380 has 72 divisors (see below), whose sum is σ = 479014160352. Its totient is φ = 31583350656.

The previous prime is 138177160379. The next prime is 138177160391. The reversal of 138177160380 is 83061771831.

138177160380 is a `hidden beast` number, since 1 + 38 + 1 + 7 + 7 + 1 + 603 + 8 + 0 = 666.

138177160380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 54830947 + ... + 54833466.

Almost surely, 2138177160380 is an apocalyptic number.

138177160380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138177160380 is an abundant number, since it is smaller than the sum of its proper divisors (340836999972).

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

138177160380 is a wasteful number, since it uses less digits than its factorization.

138177160380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109664435 (or 109664430 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 138177160380 in words is "one hundred thirty-eight billion, one hundred seventy-seven million, one hundred sixty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 109664413 219328826 328993239 438657652 548322065 657986478 767650891 986979717 1096644130 1315972956 1535301782 1644966195 1973959434 2193288260 2302952673 3070603564 3289932390 3838254455 3947918868 4605905346 4934898585 6579864780 6908858019 7676508910 9211810692 9869797170 11514763365 13817716038 15353017820 19739594340 23029526730 27635432076 34544290095 46059053460 69088580190 138177160380