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23742396000 = 253453127577
BaseRepresentation
bin10110000111001010…
…000011011001100000
32021021122111200110000
4112013022003121200
5342111023133000
614523533540000
71500234015261
oct260712033140
967248450400
1023742396000
11a083a66584
124727344600
132314b2383b
141213340968
1593e5a9000
hex587283660

23742396000 has 480 divisors, whose sum is σ = 87980884992. Its totient is φ = 6270566400.

The previous prime is 23742395981. The next prime is 23742396043. The reversal of 23742396000 is 69324732.

It is a happy number.

23742396000 is a `hidden beast` number, since 2 + 3 + 7 + 42 + 3 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41147712 + ... + 41148288.

Almost surely, 223742396000 is an apocalyptic number.

23742396000 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 23742396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43990442496).

23742396000 is an abundant number, since it is smaller than the sum of its proper divisors (64238488992).

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

23742396000 is a wasteful number, since it uses less digits than its factorization.

23742396000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 23742396000 in words is "twenty-three billion, seven hundred forty-two million, three hundred ninety-six thousand".