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23412306816 = 273220323183
BaseRepresentation
bin10101110011011110…
…110111001110000000
32020102122101102012200
4111303132313032000
5340422022304231
614431102553200
71456115216163
oct256336671600
966378342180
1023412306816
119a247006a8
124654898800
13229161c2b2
1411c1577ada
15920604be6
hex5737b7380

23412306816 has 48 divisors (see below), whose sum is σ = 67371354960. Its totient is φ = 7804101888.

The previous prime is 23412306811. The next prime is 23412306851. The reversal of 23412306816 is 61860321432.

23412306816 is a `hidden beast` number, since 2 + 341 + 2 + 306 + 8 + 1 + 6 = 666.

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

It is a super-2 number, since 2×234123068162 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23412306811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10160440 + ... + 10162743.

It is an arithmetic number, because the mean of its divisors is an integer number (1403569895).

Almost surely, 223412306816 is an apocalyptic number.

It is an amenable number.

23412306816 is an abundant number, since it is smaller than the sum of its proper divisors (43959048144).

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

23412306816 is a wasteful number, since it uses less digits than its factorization.

23412306816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20323203 (or 20323188 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 23412306816 in words is "twenty-three billion, four hundred twelve million, three hundred six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 20323183 40646366 60969549 81292732 121939098 162585464 182908647 243878196 325170928 365817294 487756392 650341856 731634588 975512784 1300683712 1463269176 1951025568 2601367424 2926538352 3902051136 5853076704 7804102272 11706153408 23412306816