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139084751808 = 2633316325447
BaseRepresentation
bin1000000110001000011…
…0001110001111000000
3111022000001111110021000
42001202012032033000
54234321144024213
6143521124532000
713022435612142
oct2014206161700
9438001443230
10139084751808
1153a92797682
1222b57251000
131016708a012
146a35c62c92
1539406d1c73
hex206218e3c0

139084751808 has 112 divisors (see below), whose sum is σ = 409028757760. Its totient is φ = 46345105152.

The previous prime is 139084751801. The next prime is 139084751809. The reversal of 139084751808 is 808157480931.

139084751808 is a `hidden beast` number, since 1 + 3 + 90 + 8 + 475 + 1 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139084751801) 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 15 ways as a sum of consecutive naturals, for example, 5452941 + ... + 5478387.

It is an arithmetic number, because the mean of its divisors is an integer number (3652042480).

Almost surely, 2139084751808 is an apocalyptic number.

139084751808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139084751808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204514378880).

139084751808 is an abundant number, since it is smaller than the sum of its proper divisors (269944005952).

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

139084751808 is a wasteful number, since it uses less digits than its factorization.

139084751808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28631 (or 28615 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 139084751808 in words is "one hundred thirty-nine billion, eighty-four million, seven hundred fifty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 3163 6326 9489 12652 18978 25304 25447 28467 37956 50608 50894 56934 75912 76341 85401 101216 101788 113868 151824 152682 170802 202432 203576 227736 229023 303648 305364 341604 407152 455472 458046 607296 610728 683208 687069 814304 910944 916092 1221456 1366416 1374138 1628608 1821888 1832184 2442912 2732832 2748276 3664368 4885824 5465664 5496552 7328736 10993104 14657472 21986208 43972416 80488861 160977722 241466583 321955444 482933166 643910888 724399749 965866332 1287821776 1448799498 1931732664 2173199247 2575643552 2897598996 3863465328 4346398494 5151287104 5795197992 7726930656 8692796988 11590395984 15453861312 17385593976 23180791968 34771187952 46361583936 69542375904 139084751808