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23878932000 = 2535371143601
BaseRepresentation
bin10110001111010010…
…111001011000100000
32021122011102102121220
4112033102321120200
5342401001311000
614545252215040
71503512400360
oct261722713040
967564372556
1023878932000
11a144042050
12476500a480
1323371ba281
1412275229a0
1594b5791a0
hex58f4b9620

23878932000 has 768 divisors, whose sum is σ = 99964440576. Its totient is φ = 4838400000.

The previous prime is 23878931987. The next prime is 23878932019. The reversal of 23878932000 is 23987832.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39731700 + ... + 39732300.

It is an arithmetic number, because the mean of its divisors is an integer number (130162032).

Almost surely, 223878932000 is an apocalyptic number.

23878932000 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 23878932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49982220288).

23878932000 is an abundant number, since it is smaller than the sum of its proper divisors (76085508576).

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

23878932000 is a wasteful number, since it uses less digits than its factorization.

23878932000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 23878932000 in words is "twenty-three billion, eight hundred seventy-eight million, nine hundred thirty-two thousand".