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23445847152 = 243271329103599
BaseRepresentation
bin10101110101011110…
…110011110001110000
32020111222111102220100
4111311132303301300
5341004114102102
614434301512400
71460003261340
oct256536636160
966458442810
1023445847152
119a41629a92
124663b72700
132298563850
1411c5bc8d20
1592352ca1c
hex5757b3c70

23445847152 has 480 divisors, whose sum is σ = 84494592000. Its totient is φ = 5902460928.

The previous prime is 23445847147. The next prime is 23445847163. The reversal of 23445847152 is 25174854432.

23445847152 is a `hidden beast` number, since 2 + 3 + 4 + 458 + 47 + 152 = 666.

It is a super-2 number, since 2×234458471522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23445847098 and 23445847107.

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, 39141349 + ... + 39141947.

It is an arithmetic number, because the mean of its divisors is an integer number (176030400).

Almost surely, 223445847152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23445847152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42247296000).

23445847152 is an abundant number, since it is smaller than the sum of its proper divisors (61048744848).

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

23445847152 is a wasteful number, since it uses less digits than its factorization.

23445847152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 756 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The spelling of 23445847152 in words is "twenty-three billion, four hundred forty-five million, eight hundred forty-seven thousand, one hundred fifty-two".