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13213392912 = 24322311033617
BaseRepresentation
bin11000100111001010…
…00110000000010000
31021002212022220111200
430103211012000100
5204030112033122
610023052511200
7645303662256
oct142345060020
937085286450
1013213392912
115670685735
12268917b500
131327667cb5
148d4c365d6
155250545ac
hex313946010

13213392912 has 120 divisors (see below), whose sum is σ = 38632598784. Its totient is φ = 4207982592.

The previous prime is 13213392887. The next prime is 13213392923. The reversal of 13213392912 is 21929331231.

13213392912 is a `hidden beast` number, since 1 + 32 + 1 + 339 + 291 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3651328 + ... + 3654944.

Almost surely, 213213392912 is an apocalyptic number.

13213392912 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 13213392912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19316299392).

13213392912 is an abundant number, since it is smaller than the sum of its proper divisors (25419205872).

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

13213392912 is a wasteful number, since it uses less digits than its factorization.

13213392912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757 (or 4748 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The spelling of 13213392912 in words is "thirteen billion, two hundred thirteen million, three hundred ninety-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1103 1104 1656 2206 3309 3312 3617 4412 6618 7234 8824 9927 10851 13236 14468 17648 19854 21702 25369 26472 28936 32553 39708 43404 50738 52944 57872 65106 76107 79416 83191 86808 101476 130212 152214 158832 166382 173616 202952 228321 249573 260424 304428 332764 405904 456642 499146 520848 608856 665528 748719 913284 998292 1217712 1331056 1497438 1826568 1996584 2994876 3653136 3989551 3993168 5989752 7979102 11968653 11979504 15958204 23937306 31916408 35905959 47874612 63832816 71811918 91759673 95749224 143623836 183519346 191498448 275279019 287247672 367038692 550558038 574495344 734077384 825837057 1101116076 1468154768 1651674114 2202232152 3303348228 4404464304 6606696456 13213392912