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23987003040 = 2534571113432
BaseRepresentation
bin10110010101101111…
…001001111010100000
32021220200210000020000
4112111233021322200
5343111133044130
615004112420000
71506264106320
oct262557117240
967820700200
1023987003040
11a19a046460
124795247600
1323536c8630
141237a15280
15955cc5260
hex595bc9ea0

23987003040 has 1440 divisors, whose sum is σ = 116366253696. Its totient is φ = 4493905920.

The previous prime is 23987003011. The next prime is 23987003087. The reversal of 23987003040 is 4030078932.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 23987002986 and 23987003004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 557837259 + ... + 557837301.

Almost surely, 223987003040 is an apocalyptic number.

23987003040 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 23987003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58183126848).

23987003040 is an abundant number, since it is smaller than the sum of its proper divisors (92379250656).

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

23987003040 is a wasteful number, since it uses less digits than its factorization.

23987003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 23987003040 in words is "twenty-three billion, nine hundred eighty-seven million, three thousand, forty".