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15150265056 = 2533103170243
BaseRepresentation
bin11100001110000011…
…01011001011100000
31110002211220012121000
432013001223023200
5222011431440211
610543202432000
71044303061653
oct160701531340
943084805530
1015150265056
116474a25413
122b29962600
131575a0b7a4
14a3a17b89a
155da0e7656
hex38706b2e0

15150265056 has 96 divisors (see below), whose sum is σ = 44617547520. Its totient is φ = 5001028992.

The previous prime is 15150265043. The next prime is 15150265063. The reversal of 15150265056 is 65056205151.

15150265056 is a `hidden beast` number, since 1 + 51 + 502 + 6 + 50 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 15150265056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3871 + ... + 174113.

It is an arithmetic number, because the mean of its divisors is an integer number (464766120).

Almost surely, 215150265056 is an apocalyptic number.

15150265056 is a gapful number since it is divisible by the number (16) 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 15150265056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22308773760).

15150265056 is an abundant number, since it is smaller than the sum of its proper divisors (29467282464).

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

15150265056 is a wasteful number, since it uses less digits than its factorization.

15150265056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170365 (or 170351 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 15150265056 in words is "fifteen billion, one hundred fifty million, two hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 103 108 144 206 216 288 309 412 432 618 824 864 927 1236 1648 1854 2472 2781 3296 3708 4944 5562 7416 9888 11124 14832 22248 29664 44496 88992 170243 340486 510729 680972 1021458 1361944 1532187 2042916 2723888 3064374 4085832 4596561 5447776 6128748 8171664 9193122 12257496 16343328 17535029 18386244 24514992 35070058 36772488 49029984 52605087 70140116 73544976 105210174 140280232 147089952 157815261 210420348 280560464 315630522 420840696 473445783 561120928 631261044 841681392 946891566 1262522088 1683362784 1893783132 2525044176 3787566264 5050088352 7575132528 15150265056