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15714312672 = 2531923114627
BaseRepresentation
bin11101010001010010…
…10110000111100000
31111120011020210110110
432220221112013200
5224140331001142
611115152131320
71064262311442
oct165051260740
944504223413
1015714312672
116734357773
123066836b40
131635829c86
14a91046492
1561e8b299c
hex3a8a561e0

15714312672 has 144 divisors (see below), whose sum is σ = 44942833152. Its totient is φ = 4802008320.

The previous prime is 15714312659. The next prime is 15714312673. The reversal of 15714312672 is 27621341751.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 15714312672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15714312673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1067023 + ... + 1081649.

It is an arithmetic number, because the mean of its divisors is an integer number (312103008).

Almost surely, 215714312672 is an apocalyptic number.

15714312672 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 15714312672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22471416576).

15714312672 is an abundant number, since it is smaller than the sum of its proper divisors (29228520480).

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

15714312672 is a wasteful number, since it uses less digits than its factorization.

15714312672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14709 (or 14682 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The spelling of 15714312672 in words is "fifteen billion, seven hundred fourteen million, three hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 228 248 304 361 372 456 496 589 608 722 744 912 992 1083 1178 1444 1488 1767 1824 2166 2356 2888 2976 3534 4332 4712 5776 7068 8664 9424 11191 11552 14136 14627 17328 18848 22382 28272 29254 33573 34656 43881 44764 56544 58508 67146 87762 89528 117016 134292 175524 179056 234032 268584 277913 351048 358112 453437 468064 537168 555826 702096 833739 906874 1074336 1111652 1360311 1404192 1667478 1813748 2223304 2720622 3334956 3627496 4446608 5280347 5441244 6669912 7254992 8615303 8893216 10560694 10882488 13339824 14509984 15841041 17230606 21121388 21764976 25845909 26679648 31682082 34461212 42242776 43529952 51691818 63364164 68922424 84485552 103383636 126728328 137844848 163690757 168971104 206767272 253456656 275689696 327381514 413534544 491072271 506913312 654763028 827069088 982144542 1309526056 1964289084 2619052112 3928578168 5238104224 7857156336 15714312672