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23834667064 = 23131373075449
BaseRepresentation
bin10110001100101010…
…000010100000111000
32021112002010112112211
4112030222002200320
5342303133321224
614541031344504
71502434220155
oct261452024070
967462115484
1023834667064
11a12105915a
124752222134
13232ac8c3c0
1412216bd22c
15947733894
hex58ca82838

23834667064 has 64 divisors (see below), whose sum is σ = 48645828000. Its totient is φ = 10882750464.

The previous prime is 23834667053. The next prime is 23834667121. The reversal of 23834667064 is 46076643832.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 23834666999 and 23834667017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4371412 + ... + 4376860.

Almost surely, 223834667064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23834667064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24322914000).

23834667064 is an abundant number, since it is smaller than the sum of its proper divisors (24811160936).

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

23834667064 is a wasteful number, since it uses less digits than its factorization.

23834667064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 49.

The spelling of 23834667064 in words is "twenty-three billion, eight hundred thirty-four million, six hundred sixty-seven thousand, sixty-four".

Divisors: 1 2 4 8 13 26 52 104 137 274 307 548 614 1096 1228 1781 2456 3562 3991 5449 7124 7982 10898 14248 15964 21796 31928 42059 43592 70837 84118 141674 168236 283348 336472 546767 566696 746513 1093534 1493026 1672843 2187068 2986052 3345686 4374136 5972104 6691372 9704669 13382744 19409338 21746959 38818676 43493918 77637352 86987836 173975672 229179491 458358982 916717964 1833435928 2979333383 5958666766 11917333532 23834667064