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10238474400 = 25352711173259
BaseRepresentation
bin10011000100100001…
…01011100010100000
3222102112111101111120
421202100223202200
5131432022140100
64411542012240
7511501411410
oct114220534240
928375441446
1010238474400
1143843963a0
121b98a17080
13c72225a9b
146d1abc640
153edcb70a0
hex26242b8a0

10238474400 has 576 divisors, whose sum is σ = 44007183360. Its totient is φ = 2001715200.

The previous prime is 10238474381. The next prime is 10238474413. The reversal of 10238474400 is 447483201.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 3139971 + ... + 3143229.

It is an arithmetic number, because the mean of its divisors is an integer number (76401360).

Almost surely, 210238474400 is an apocalyptic number.

10238474400 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 10238474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22003591680).

10238474400 is an abundant number, since it is smaller than the sum of its proper divisors (33768708960).

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

10238474400 is a wasteful number, since it uses less digits than its factorization.

10238474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3317 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 10238474400 in words is "ten billion, two hundred thirty-eight million, four hundred seventy-four thousand, four hundred".