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138561833376 = 2532481117477
BaseRepresentation
bin1000000100001011101…
…1011100100110100000
3111020122121112110000200
42001002323130212200
54232233312132001
6143353204545200
713003456102461
oct2010273344640
9436577473020
10138561833376
11538445a728a
1222a300b2200
13100b293c325
1469c6622d68
15390e83d086
hex2042edc9a0

138561833376 has 36 divisors (see below), whose sum is σ = 394035214482. Its totient is φ = 46187277696.

The previous prime is 138561833363. The next prime is 138561833383. The reversal of 138561833376 is 673338165831.

138561833376 is a `hidden beast` number, since 1 + 3 + 8 + 561 + 8 + 3 + 3 + 3 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99807973776 + 38753859600 = 315924^2 + 196860^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 240558451 + ... + 240559026.

Almost surely, 2138561833376 is an apocalyptic number.

138561833376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138561833376 is an abundant number, since it is smaller than the sum of its proper divisors (255473381106).

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

138561833376 is a wasteful number, since it uses less digits than its factorization.

138561833376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481117493 (or 481117482 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 138561833376 in words is "one hundred thirty-eight billion, five hundred sixty-one million, eight hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 481117477 962234954 1443352431 1924469908 2886704862 3848939816 4330057293 5773409724 7697879632 8660114586 11546819448 15395759264 17320229172 23093638896 34640458344 46187277792 69280916688 138561833376