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9999974400 = 21535213313
BaseRepresentation
bin10010101000000101…
…11000000000000000
3221210220201100000020
421110002320000000
5130434443140100
64332142053440
7502544244213
oct112402700000
927726640006
109999974400
1142717a7859
121b30b7a280
13c349ab920
146ac15777a
153d7da55a0
hex2540b8000

9999974400 has 384 divisors, whose sum is σ = 35723390640. Its totient is φ = 2453667840.

The previous prime is 9999974371. The next prime is 9999974401. The reversal of 9999974400 is 44799999.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a nialpdrome in base 10.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 5008 × 400 × 4992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9999974401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31948644 + ... + 31948956.

Almost surely, 29999974400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9999974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17861695320).

9999974400 is an abundant number, since it is smaller than the sum of its proper divisors (25723416240).

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

9999974400 is a wasteful number, since it uses less digits than its factorization.

9999974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 60.

The square root of 9999974400 is about 99999.8719999181. The cubic root of 9999974400 is about 2154.4328515794.

The spelling of 9999974400 in words is "nine billion, nine hundred ninety-nine million, nine hundred seventy-four thousand, four hundred".