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23918750640 = 243252337103379
BaseRepresentation
bin10110010001101010…
…110010101110110000
32021201221100102112100
4112101222302232300
5342441200010030
614553233500400
71504505011611
oct262152625660
967657312470
1023918750640
11a164569414
124776411700
13234251c3b5
14122c929c08
1594ece2360
hex591ab2bb0

23918750640 has 480 divisors, whose sum is σ = 87150136320. Its totient is φ = 5862979584.

The previous prime is 23918750621. The next prime is 23918750657. The reversal of 23918750640 is 4605781932.

23918750640 is a `hidden beast` number, since 23 + 9 + 1 + 87 + 506 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63109971 + ... + 63110349.

It is an arithmetic number, because the mean of its divisors is an integer number (181562784).

It is a 1-persistent number, because it is pandigital, but 2⋅23918750640 = 47837501280 is not.

Almost surely, 223918750640 is an apocalyptic number.

23918750640 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 23918750640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43575068160).

23918750640 is an abundant number, since it is smaller than the sum of its proper divisors (63231385680).

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

23918750640 is a wasteful number, since it uses less digits than its factorization.

23918750640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 23918750640 in words is "twenty-three billion, nine hundred eighteen million, seven hundred fifty thousand, six hundred forty".