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23632872032 = 2571128997101
BaseRepresentation
bin10110000000101000…
…010000001001100000
32021000000102021210202
4112000220100021200
5341400003401112
614505022244332
71464434045360
oct260050201140
967000367722
1023632872032
11a02815a600
1246b67266a8
1322c8227063
1412029909a0
15934b726c2
hex580a10260

23632872032 has 288 divisors, whose sum is σ = 60304668480. Its totient is φ = 8921088000.

The previous prime is 23632872017. The next prime is 23632872059. The reversal of 23632872032 is 23027823632.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233988782 + ... + 233988882.

It is an arithmetic number, because the mean of its divisors is an integer number (209391210).

Almost surely, 223632872032 is an apocalyptic number.

23632872032 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 23632872032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30152334240).

23632872032 is an abundant number, since it is smaller than the sum of its proper divisors (36671796448).

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

23632872032 is a wasteful number, since it uses less digits than its factorization.

23632872032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 23632872032 in words is "twenty-three billion, six hundred thirty-two million, eight hundred seventy-two thousand, thirty-two".