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23119193664 = 263473767257
BaseRepresentation
bin10101100010000000…
…101110011001000000
32012200012211201120000
4111202000232121000
5334322003144124
614342032320000
71445625621660
oct254200563100
965605751500
1023119193664
119894200426
1245926a3000
132245993068
1411946781a0
15904a066c9
hex56202e640

23119193664 has 560 divisors, whose sum is σ = 81957988992. Its totient is φ = 6306398208.

The previous prime is 23119193663. The next prime is 23119193723. The reversal of 23119193664 is 46639191132.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23119193663) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89957824 + ... + 89958080.

Almost surely, 223119193664 is an apocalyptic number.

23119193664 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 23119193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40978994496).

23119193664 is an abundant number, since it is smaller than the sum of its proper divisors (58838795328).

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

23119193664 is a wasteful number, since it uses less digits than its factorization.

23119193664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 373 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The spelling of 23119193664 in words is "twenty-three billion, one hundred nineteen million, one hundred ninety-three thousand, six hundred sixty-four".