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23438600640 = 2634571319523
BaseRepresentation
bin10101110101000011…
…001010100111000000
32020111110212021120000
4111311003022213000
5341000240210030
614433442320000
71456554550440
oct256503124700
966443767500
1023438600640
119a3852a634
124661659000
132296bc7380
1411c4c60120
15922a9a860
hex5750ca9c0

23438600640 has 1120 divisors, whose sum is σ = 108223019520. Its totient is φ = 4676050944.

The previous prime is 23438600617. The next prime is 23438600663. The reversal of 23438600640 is 4600683432.

It is a happy number.

23438600640 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 8 + 6 + 0 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (23438600617) and next prime (23438600663).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×234386006402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 23438600595 and 23438600604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44815419 + ... + 44815941.

It is an arithmetic number, because the mean of its divisors is an integer number (96627696).

Almost surely, 223438600640 is an apocalyptic number.

23438600640 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 23438600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54111509760).

23438600640 is an abundant number, since it is smaller than the sum of its proper divisors (84784418880).

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

23438600640 is a wasteful number, since it uses less digits than its factorization.

23438600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 23438600640 in words is "twenty-three billion, four hundred thirty-eight million, six hundred thousand, six hundred forty".