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10238640000 = 27354371153
BaseRepresentation
bin10011000100100010…
…10011111110000000
3222102112210210122220
421202101103332000
5131432042440000
64411545331040
7511503001251
oct114221237600
928375723586
1010238640000
114384499856
121b98a96a80
13c72283284
146d1b22b28
153edceb1a0
hex262453f80

10238640000 has 320 divisors, whose sum is σ = 34933380240. Its totient is φ = 2654208000.

The previous prime is 10238639969. The next prime is 10238640017. The reversal of 10238640000 is 4683201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8879424 + ... + 8880576.

Almost surely, 210238640000 is an apocalyptic number.

10238640000 is a gapful number since it is divisible by the number (10) 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 10238640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17466690120).

10238640000 is an abundant number, since it is smaller than the sum of its proper divisors (24694740240).

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

10238640000 is an equidigital number, since it uses as much as digits as its factorization.

10238640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 10238640000 in words is "ten billion, two hundred thirty-eight million, six hundred forty thousand".