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139357755648 = 2832531141229
BaseRepresentation
bin1000000111001001011…
…1101001100100000000
3111022201002012111010100
42001302113221210000
54240401041140043
6144004200202400
713032262243536
oct2016227514400
9438632174110
10139357755648
1154112902491
1223012769400
13101ab7c5157
146a6020a156
15395965bcd3
hex20725e9900

139357755648 has 108 divisors (see below), whose sum is σ = 409384308060. Its totient is φ = 45576081408.

The previous prime is 139357755643. The next prime is 139357755653. The reversal of 139357755648 is 846557753931.

139357755648 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 5 + 77 + 556 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (139357755643) and next prime (139357755653).

It can be written as a sum of positive squares in 2 ways, for example, as 55748876544 + 83608879104 = 236112^2 + 289152^2 .

It is not an unprimeable number, because it can be changed into a prime (139357755643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 448503 + ... + 692726.

It is an arithmetic number, because the mean of its divisors is an integer number (3790595445).

Almost surely, 2139357755648 is an apocalyptic number.

139357755648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

139357755648 is an abundant number, since it is smaller than the sum of its proper divisors (270026552412).

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

139357755648 is a wasteful number, since it uses less digits than its factorization.

139357755648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141304 (or 1141287 counting only the distinct ones).

The product of its digits is 95256000, while the sum is 63.

The spelling of 139357755648 in words is "one hundred thirty-nine billion, three hundred fifty-seven million, seven hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 576 636 768 848 954 1152 1272 1696 1908 2304 2544 3392 3816 5088 6784 7632 10176 13568 15264 20352 30528 40704 61056 122112 1141229 2282458 3423687 4564916 6847374 9129832 10271061 13694748 18259664 20542122 27389496 36519328 41084244 54778992 60485137 73038656 82168488 109557984 120970274 146077312 164336976 181455411 219115968 241940548 292154624 328673952 362910822 438231936 483881096 544366233 657347904 725821644 876463872 967762192 1088732466 1314695808 1451643288 1935524384 2177464932 2629391616 2903286576 3871048768 4354929864 5806573152 7742097536 8709859728 11613146304 15484195072 17419719456 23226292608 34839438912 46452585216 69678877824 139357755648