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139177361952 = 25323467139387
BaseRepresentation
bin1000000110011110011…
…1100000001000100000
3111022020111202112111100
42001213213200020200
54240013401040302
6143534233514400
713024642025436
oct2014747401040
9438214675440
10139177361952
115402aaa0a92
1222b82272a00
1310180314015
146a4428cd56
1539488c6d1c
hex20679e0220

139177361952 has 72 divisors (see below), whose sum is σ = 395902621296. Its totient is φ = 46378740096.

The previous prime is 139177361941. The next prime is 139177361957. The reversal of 139177361952 is 259163771931.

139177361952 is a `hidden beast` number, since 1 + 3 + 9 + 17 + 7 + 3 + 619 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (139177361957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 928803 + ... + 1068189.

It is an arithmetic number, because the mean of its divisors is an integer number (5498647518).

Almost surely, 2139177361952 is an apocalyptic number.

139177361952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

139177361952 is an abundant number, since it is smaller than the sum of its proper divisors (256725259344).

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

139177361952 is a wasteful number, since it uses less digits than its factorization.

139177361952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142870 (or 142859 counting only the distinct ones).

The product of its digits is 2143260, while the sum is 54.

The spelling of 139177361952 in words is "one hundred thirty-nine billion, one hundred seventy-seven million, three hundred sixty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3467 6934 10401 13868 20802 27736 31203 41604 55472 62406 83208 110944 124812 139387 166416 249624 278774 332832 418161 499248 557548 836322 998496 1115096 1254483 1672644 2230192 2508966 3345288 4460384 5017932 6690576 10035864 13381152 20071728 40143456 483254729 966509458 1449764187 1933018916 2899528374 3866037832 4349292561 5799056748 7732075664 8698585122 11598113496 15464151328 17397170244 23196226992 34794340488 46392453984 69588680976 139177361952