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139060957824 = 2732379318503
BaseRepresentation
bin1000000110000010101…
…1011101001010000000
3111021221101201121001100
42001200223131022000
54234244101122244
6143514514534400
713022026432005
oct2014053351200
9437841647040
10139060957824
1153a80315928
1222b4b297400
1310162178a39
146a32a2b8ac
15393d581b69
hex2060add280

139060957824 has 96 divisors (see below), whose sum is σ = 401219488800. Its totient is φ = 46231202304.

The previous prime is 139060957793. The next prime is 139060957837. The reversal of 139060957824 is 428759060931.

139060957824 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 60 + 9 + 578 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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, 277357 + ... + 595859.

It is an arithmetic number, because the mean of its divisors is an integer number (4179369675).

It is a 1-persistent number, because it is pandigital, but 2⋅139060957824 = 278121915648 is not.

Almost surely, 2139060957824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139060957824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200609744400).

139060957824 is an abundant number, since it is smaller than the sum of its proper divisors (262158530976).

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

139060957824 is a wasteful number, since it uses less digits than its factorization.

139060957824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318902 (or 318887 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 139060957824 in words is "one hundred thirty-nine billion, sixty million, nine hundred fifty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 379 384 576 758 1137 1152 1516 2274 3032 3411 4548 6064 6822 9096 12128 13644 18192 24256 27288 36384 48512 54576 72768 109152 145536 218304 318503 436608 637006 955509 1274012 1911018 2548024 2866527 3822036 5096048 5733054 7644072 10192096 11466108 15288144 20384192 22932216 30576288 40768384 45864432 61152576 91728864 120712637 122305152 183457728 241425274 362137911 366915456 482850548 724275822 965701096 1086413733 1448551644 1931402192 2172827466 2897103288 3862804384 4345654932 5794206576 7725608768 8691309864 11588413152 15451217536 17382619728 23176826304 34765239456 46353652608 69530478912 139060957824