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15427075092 = 223111321315279
BaseRepresentation
bin11100101111000011…
…00111110000010100
31110211010202121120120
432113201213300110
5223043312400332
611030451431540
71054203655212
oct162741476024
943733677516
1015427075092
1165a71aa940
122ba65b55b0
1315bb17a200
14a64c35cb2
1560457532c
hex397867c14

15427075092 has 144 divisors (see below), whose sum is σ = 42854676480. Its totient is φ = 4281513600.

The previous prime is 15427075087. The next prime is 15427075121. The reversal of 15427075092 is 29057072451.

15427075092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2919709 + ... + 2924987.

It is an arithmetic number, because the mean of its divisors is an integer number (297601920).

Almost surely, 215427075092 is an apocalyptic number.

15427075092 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 15427075092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427338240).

15427075092 is an abundant number, since it is smaller than the sum of its proper divisors (27427601388).

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

15427075092 is a wasteful number, since it uses less digits than its factorization.

15427075092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 15427075092 in words is "fifteen billion, four hundred twenty-seven million, seventy-five thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 131 132 143 156 169 262 286 338 393 429 507 524 572 676 786 858 1014 1441 1572 1703 1716 1859 2028 2882 3406 3718 4323 5109 5279 5577 5764 6812 7436 8646 10218 10558 11154 15837 17292 18733 20436 21116 22139 22308 31674 37466 44278 56199 58069 63348 66417 68627 74932 88556 112398 116138 132834 137254 174207 205881 224796 232276 243529 265668 274508 348414 411762 487058 691549 696828 730587 754897 823524 892151 974116 1383098 1461174 1509794 1784302 2074647 2264691 2676453 2766196 2922348 3019588 3568604 4149294 4529382 5352906 7607039 8298588 8990137 9058764 9813661 10705812 15214078 17980274 19627322 22821117 26970411 29440983 30428156 35960548 39254644 45642234 53940822 58881966 91284468 98891507 107881644 116871781 117763932 197783014 233743562 296674521 350615343 395566028 467487124 593349042 701230686 1186698084 1285589591 1402461372 2571179182 3856768773 5142358364 7713537546 15427075092