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138357975511 = 7471201350159
BaseRepresentation
bin1000000011011011000…
…1110010100111010111
3111020010101221101121101
42000312301302213113
54231324120204021
6143321043330531
712665432246620
oct2006661624727
9436111841541
10138357975511
115374a519908
1222993980a47
131007c634082
1469a7518a47
1538eb9c0a91
hex2036c729d7

138357975511 has 16 divisors (see below), whose sum is σ = 161622650880. Its totient is φ = 115972329600.

The previous prime is 138357975499. The next prime is 138357975521. The reversal of 138357975511 is 115579753831.

138357975511 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 138357975511 - 227 = 138223757783 is a prime.

It is a super-2 number, since 2×1383579755112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138357975521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220050 + ... + 570208.

It is an arithmetic number, because the mean of its divisors is an integer number (10101415680).

Almost surely, 2138357975511 is an apocalyptic number.

138357975511 is a deficient number, since it is larger than the sum of its proper divisors (23264675369).

138357975511 is a wasteful number, since it uses less digits than its factorization.

138357975511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351414.

The product of its digits is 3969000, while the sum is 55.

The spelling of 138357975511 in words is "one hundred thirty-eight billion, three hundred fifty-seven million, nine hundred seventy-five thousand, five hundred eleven".

Divisors: 1 7 47 329 1201 8407 56447 350159 395129 2451113 16457473 115202311 420540959 2943786713 19765425073 138357975511