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12093235216 = 241967976121
BaseRepresentation
bin10110100001101000…
…00010000000010000
31011012210120000000121
423100310002000100
5144231332011331
65320000000024
7605452542346
oct132064020020
934183500017
1012093235216
115146352677
122416000014
1311a957a1aa
1482a16b996
154aba3ac11
hex2d0d02010

12093235216 has 80 divisors (see below), whose sum is σ = 25294144960. Its totient is φ = 5583790080.

The previous prime is 12093235211. The next prime is 12093235267. The reversal of 12093235216 is 61253239021.

It is not an unprimeable number, because it can be changed into a prime (12093235211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1972636 + ... + 1978756.

It is an arithmetic number, because the mean of its divisors is an integer number (316176812).

Almost surely, 212093235216 is an apocalyptic number.

12093235216 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 12093235216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12647072480).

12093235216 is an abundant number, since it is smaller than the sum of its proper divisors (13200909744).

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

12093235216 is a wasteful number, since it uses less digits than its factorization.

12093235216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6306 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

It can be divided in two parts, 120932352 and 16, that multiplied together give a 5-th power (1934917632 = 725).

The spelling of 12093235216 in words is "twelve billion, ninety-three million, two hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 38 67 76 97 134 152 194 268 304 388 536 776 1072 1273 1552 1843 2546 3686 5092 6121 6499 7372 10184 12242 12998 14744 20368 24484 25996 29488 48968 51992 97936 103984 116299 123481 232598 246962 410107 465196 493924 593737 820214 930392 987848 1187474 1640428 1860784 1975696 2374948 3280856 4749896 6561712 7792033 9499792 11281003 15584066 22562006 31168132 39780379 45124012 62336264 79560758 90248024 124672528 159121516 180496048 318243032 636486064 755827201 1511654402 3023308804 6046617608 12093235216