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23880041640 = 233257132341773
BaseRepresentation
bin10110001111010111…
…001000010010101000
32021122020111210202200
4112033113020102220
5342401242313030
614545332100200
71503525001440
oct261727102250
967566453680
1023880041640
11a14472a804
124765464660
1323374b8370
141227731120
1594b6e7d60
hex58f5c84a8

23880041640 has 768 divisors, whose sum is σ = 102236359680. Its totient is φ = 4695736320.

The previous prime is 23880041639. The next prime is 23880041651. The reversal of 23880041640 is 4614008832.

23880041640 is a `hidden beast` number, since 2 + 3 + 8 + 8 + 0 + 0 + 4 + 1 + 640 = 666.

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 = 23880041595 and 23880041604.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30892294 + ... + 30893066.

It is an arithmetic number, because the mean of its divisors is an integer number (133120260).

Almost surely, 223880041640 is an apocalyptic number.

23880041640 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 23880041640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51118179840).

23880041640 is an abundant number, since it is smaller than the sum of its proper divisors (78356318040).

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

23880041640 is a wasteful number, since it uses less digits than its factorization.

23880041640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 23880041640 in words is "twenty-three billion, eight hundred eighty million, forty-one thousand, six hundred forty".