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15116331432 = 2332961463769
BaseRepresentation
bin11100001010000000…
…01110100110101000
31110000111001012102010
432011000032212220
5221424240101212
610535551235520
71043411461056
oct160500164650
943014035363
1015116331432
1164578585a4
122b1a518ba0
13156b98a217
14a358671d6
155d714303c
hex38500e9a8

15116331432 has 128 divisors (see below), whose sum is σ = 39872448000. Its totient is φ = 4768727040.

The previous prime is 15116331421. The next prime is 15116331437. The reversal of 15116331432 is 23413361151.

It is a self number, because there is not a number n which added to its sum of digits gives 15116331432.

It is not an unprimeable number, because it can be changed into a prime (15116331437) 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 31 ways as a sum of consecutive naturals, for example, 19656744 + ... + 19657512.

It is an arithmetic number, because the mean of its divisors is an integer number (311503500).

Almost surely, 215116331432 is an apocalyptic number.

15116331432 is a gapful number since it is divisible by the number (12) 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 15116331432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19936224000).

15116331432 is an abundant number, since it is smaller than the sum of its proper divisors (24756116568).

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

15116331432 is a wasteful number, since it uses less digits than its factorization.

15116331432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1327 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

Adding to 15116331432 its reverse (23413361151), we get a palindrome (38529692583).

The spelling of 15116331432 in words is "fifteen billion, one hundred sixteen million, three hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 61 87 116 122 174 183 232 244 348 366 463 488 696 732 769 926 1389 1464 1538 1769 1852 2307 2778 3076 3538 3704 4614 5307 5556 6152 7076 9228 10614 11112 13427 14152 18456 21228 22301 26854 28243 40281 42456 44602 46909 53708 56486 66903 80562 84729 89204 93818 107416 112972 133806 140727 161124 169458 178408 187636 225944 267612 281454 322248 338916 356047 375272 535224 562908 677832 712094 819047 1068141 1125816 1360361 1424188 1638094 2136282 2457141 2720722 2848376 3276188 4081083 4272564 4914282 5441444 6552376 8162166 8545128 9828564 10325363 10882888 16324332 19657128 20650726 21718867 30976089 32648664 41301452 43437734 61952178 65156601 82602904 86875468 123904356 130313202 173750936 247808712 260626404 521252808 629847143 1259694286 1889541429 2519388572 3779082858 5038777144 7558165716 15116331432