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15274406112 = 2537130117471
BaseRepresentation
bin11100011100110110…
…01111000011100000
31110102111111020002220
432032123033003200
5222240221443422
611003355311040
71050341211150
oct161633170340
943374436086
1015274406112
116529005429
122b6344b480
131595655534
14a4c854760
155e5e69e5c
hex38e6cf0e0

15274406112 has 96 divisors (see below), whose sum is σ = 45861064704. Its totient is φ = 4360512000.

The previous prime is 15274406093. The next prime is 15274406167. The reversal of 15274406112 is 21160447251.

15274406112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 15 ways as a sum of consecutive naturals, for example, 865537 + ... + 883007.

It is an arithmetic number, because the mean of its divisors is an integer number (477719424).

Almost surely, 215274406112 is an apocalyptic number.

15274406112 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 15274406112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22930532352).

15274406112 is an abundant number, since it is smaller than the sum of its proper divisors (30586658592).

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

15274406112 is a wasteful number, since it uses less digits than its factorization.

15274406112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18792 (or 18784 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 15274406112 in words is "fifteen billion, two hundred seventy-four million, four hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1301 2602 3903 5204 7806 9107 10408 15612 17471 18214 20816 27321 31224 34942 36428 41632 52413 54642 62448 69884 72856 104826 109284 122297 124896 139768 145712 209652 218568 244594 279536 291424 366891 419304 437136 489188 559072 733782 838608 874272 978376 1467564 1677216 1956752 2935128 3913504 5870256 11740512 22729771 45459542 68189313 90919084 136378626 159108397 181838168 272757252 318216794 363676336 477325191 545514504 636433588 727352672 954650382 1091029008 1272867176 1909300764 2182058016 2545734352 3818601528 5091468704 7637203056 15274406112