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15074631320 = 2357891573853
BaseRepresentation
bin11100000101000010…
…01001111010011000
31102220120120121121112
432002201021322120
5221333101200240
610531501355452
71042364152310
oct160241117230
942816517545
1015074631320
1164362666a1
122b08568b88
1315631498b8
14a300d0440
155d3657665
hex382849e98

15074631320 has 128 divisors (see below), whose sum is σ = 39458793600. Its totient is φ = 5076504576.

The previous prime is 15074631307. The next prime is 15074631329. The reversal of 15074631320 is 2313647051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15074631329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3910514 + ... + 3914366.

It is an arithmetic number, because the mean of its divisors is an integer number (308271825).

Almost surely, 215074631320 is an apocalyptic number.

15074631320 is a gapful number since it is divisible by the number (10) 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 15074631320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19729396800).

15074631320 is an abundant number, since it is smaller than the sum of its proper divisors (24384162280).

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

15074631320 is a wasteful number, since it uses less digits than its factorization.

15074631320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4117 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 15074631320 in words is "fifteen billion, seventy-four million, six hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 157 178 280 314 356 445 623 628 712 785 890 1099 1246 1256 1570 1780 2198 2492 3115 3140 3560 3853 4396 4984 5495 6230 6280 7706 8792 10990 12460 13973 15412 19265 21980 24920 26971 27946 30824 38530 43960 53942 55892 69865 77060 97811 107884 111784 134855 139730 154120 195622 215768 269710 279460 342917 391244 489055 539420 558920 604921 685834 782488 978110 1078840 1209842 1371668 1714585 1956220 2400419 2419684 2743336 3024605 3429170 3912440 4234447 4800838 4839368 6049210 6858340 8468894 9601676 12002095 12098420 13716680 16937788 19203352 21172235 24004190 24196840 33875576 42344470 48008380 53837969 84688940 96016760 107675938 169377880 215351876 269189845 376865783 430703752 538379690 753731566 1076759380 1507463132 1884328915 2153518760 3014926264 3768657830 7537315660 15074631320