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23890630400 = 28527131719127
BaseRepresentation
bin10110001111111111…
…100001011100000000
32021122222102202210222
4112033333201130000
5342412000133100
614550351042212
71504014002450
oct261777413400
967588382728
1023890630400
11a14a70224a
124768b10368
132339754bc0
141228cc9d60
1594c5da485
hex58ffe1700

23890630400 has 864 divisors, whose sum is σ = 81754767360. Its totient is φ = 6688604160.

The previous prime is 23890630289. The next prime is 23890630427. The reversal of 23890630400 is 403609832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188115137 + ... + 188115263.

Almost surely, 223890630400 is an apocalyptic number.

23890630400 is a gapful number since it is divisible by the number (20) 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 23890630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40877383680).

23890630400 is an abundant number, since it is smaller than the sum of its proper divisors (57864136960).

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

23890630400 is a wasteful number, since it uses less digits than its factorization.

23890630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 23890630400 in words is "twenty-three billion, eight hundred ninety million, six hundred thirty thousand, four hundred".