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23661016632 = 2332113376673
BaseRepresentation
bin10110000010010011…
…100111011000111000
32021001222101011221100
4112002103213120320
5341424210013012
614511505411400
71465225215531
oct260223473070
967058334840
1023661016632
11a042033000
124704039b60
132300ccc676
1412065d9688
159373818dc
hex5824e7638

23661016632 has 192 divisors, whose sum is σ = 72401153760. Its totient is φ = 6975175680.

The previous prime is 23661016609. The next prime is 23661016637.

23661016632 is a `hidden beast` number, since 2 + 3 + 6 + 6 + 1 + 0 + 16 + 632 = 666.

23661016632 is nontrivially palindromic in base 10.

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 (23661016637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3542448 + ... + 3549120.

Almost surely, 223661016632 is an apocalyptic number.

23661016632 is a gapful number since it is divisible by the number (22) 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 23661016632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36200576880).

23661016632 is an abundant number, since it is smaller than the sum of its proper divisors (48740137128).

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

23661016632 is a wasteful number, since it uses less digits than its factorization.

23661016632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6755 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 23661016632 in words is "twenty-three billion, six hundred sixty-one million, sixteen thousand, six hundred thirty-two".