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23628201984 = 21433311723
BaseRepresentation
bin10110000000010110…
…011100000000000000
32020222200122000201000
4112000112130000000
5341342304430414
614504334212000
71464346255152
oct260026340000
966880560630
1023628201984
11a02555a962
1246b5054000
1322c728050a
1412020d6ad2
1593454db09
hex58059c000

23628201984 has 240 divisors, whose sum is σ = 72307594240. Its totient is φ = 7617576960.

The previous prime is 23628201929. The next prime is 23628201991. The reversal of 23628201984 is 48910282632.

23628201984 is a `hidden beast` number, since 2 + 3 + 628 + 2 + 0 + 19 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13712547 + ... + 13714269.

Almost surely, 223628201984 is an apocalyptic number.

23628201984 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 23628201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36153797120).

23628201984 is an abundant number, since it is smaller than the sum of its proper divisors (48679392256).

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

23628201984 is an equidigital number, since it uses as much as digits as its factorization.

23628201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 23628201984 in words is "twenty-three billion, six hundred twenty-eight million, two hundred one thousand, nine hundred eighty-four".