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12061579296 = 253139664727
BaseRepresentation
bin10110011101110110…
…10001100000100000
31011010120222201021010
423032323101200200
5144200231014141
65312505300520
7604616506134
oct131673214040
934116881233
1012061579296
11512a4a1058
122407494740
1311a2b45590
14825c8b3c4
154a8d86416
hex2ceed1820

12061579296 has 48 divisors (see below), whose sum is σ = 34097160384. Its totient is φ = 3711254784.

The previous prime is 12061579223. The next prime is 12061579333. The reversal of 12061579296 is 69297516021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×120615792962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4831116 + ... + 4833611.

It is an arithmetic number, because the mean of its divisors is an integer number (710357508).

Almost surely, 212061579296 is an apocalyptic number.

12061579296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12061579296 is an abundant number, since it is smaller than the sum of its proper divisors (22035581088).

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

12061579296 is a wasteful number, since it uses less digits than its factorization.

12061579296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9664753 (or 9664745 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 12061579296 in words is "twelve billion, sixty-one million, five hundred seventy-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 9664727 19329454 28994181 38658908 57988362 77317816 115976724 125641451 154635632 231953448 251282902 309271264 376924353 463906896 502565804 753848706 927813792 1005131608 1507697412 2010263216 3015394824 4020526432 6030789648 12061579296