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23031968650704 = 2434134121814493
BaseRepresentation
bin1010011110010100011000…
…10011110101010111010000
310000112211112111101111120000
411033022030103311113100
511004323432433310304
6120552423524450000
74565001440231166
oct517121423652720
9100484474344500
1023031968650704
11737a8919521a2
1226bb8bb849900
13cb0b9ccc7bb0
14598a78c17236
1529e1aae72939
hex14f28c4f55d0

23031968650704 has 600 divisors, whose sum is σ = 74005642486776. Its totient is φ = 6874183065600.

The previous prime is 23031968650703. The next prime is 23031968650727. The reversal of 23031968650704 is 40705686913032.

23031968650704 is a `hidden beast` number, since 2 + 303 + 196 + 86 + 5 + 0 + 70 + 4 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 18827615246400 + 4204353404304 = 4339080^2 + 2050452^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23031968650703) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5126187082 + ... + 5126191574.

It is a 1-persistent number, because it is pandigital, but 2⋅23031968650704 = 46063937301408 is not.

Almost surely, 223031968650704 is an apocalyptic number.

23031968650704 is a gapful number since it is divisible by the number (24) 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 23031968650704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37002821243388).

23031968650704 is an abundant number, since it is smaller than the sum of its proper divisors (50973673836072).

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

23031968650704 is a wasteful number, since it uses less digits than its factorization.

23031968650704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 23031968650704 in words is "twenty-three trillion, thirty-one billion, nine hundred sixty-eight million, six hundred fifty thousand, seven hundred four".