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138252328540 = 22537570132771
BaseRepresentation
bin1000000011000001111…
…0110001111001011100
3111012212001010222012121
42000300132301321130
54231120044003130
6143302351112324
712663010255144
oct2006036617134
9435761128177
10138252328540
11536a5920767
12229645126a4
1310063794181
146997497924
1538e25a2d7a
hex20307b1e5c

138252328540 has 48 divisors (see below), whose sum is σ = 298238046624. Its totient is φ = 53795232000.

The previous prime is 138252328537. The next prime is 138252328547. The reversal of 138252328540 is 45823252831.

It is a super-2 number, since 2×1382523285402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138252328547) by changing a digit.

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, 4202355 + ... + 4235125.

It is an arithmetic number, because the mean of its divisors is an integer number (6213292638).

Almost surely, 2138252328540 is an apocalyptic number.

138252328540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138252328540 is an abundant number, since it is smaller than the sum of its proper divisors (159985718084).

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

138252328540 is a wasteful number, since it uses less digits than its factorization.

138252328540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38518 (or 38516 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 138252328540 in words is "one hundred thirty-eight billion, two hundred fifty-two million, three hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 5701 11402 22804 28505 32771 57010 65542 114020 131084 163855 210937 327710 421874 655420 843748 1054685 1212527 2109370 2425054 4218740 4850108 6062635 12125270 24250540 186827471 373654942 747309884 934137355 1868274710 3736549420 6912616427 13825232854 27650465708 34563082135 69126164270 138252328540