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138173430516 = 223113133766723
BaseRepresentation
bin1000000010101111000…
…1110011101011110100
3111012122112200112110120
42000223301303223310
54230434344234031
6143250452051540
712661031531562
oct2005361635364
9435575615416
10138173430516
1153665332490
1222942003bb0
131005032b554
14698abdaa32
1538da6baa96
hex202bc73af4

138173430516 has 48 divisors (see below), whose sum is σ = 363059816448. Its totient is φ = 40520066400.

The previous prime is 138173430491. The next prime is 138173430529. The reversal of 138173430516 is 615034371831.

138173430516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 16879270 + ... + 16887453.

It is an arithmetic number, because the mean of its divisors is an integer number (7563746176).

Almost surely, 2138173430516 is an apocalyptic number.

It is an amenable number.

138173430516 is an abundant number, since it is smaller than the sum of its proper divisors (224886385932).

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

138173430516 is a wasteful number, since it uses less digits than its factorization.

138173430516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33766772 (or 33766770 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 138173430516 in words is "one hundred thirty-eight billion, one hundred seventy-three million, four hundred thirty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 33766723 67533446 101300169 135066892 202600338 371433953 405200676 742867906 1046768413 1114301859 1485735812 2093536826 2228603718 3140305239 4187073652 4457207436 6280610478 11514452543 12561220956 23028905086 34543357629 46057810172 69086715258 138173430516