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245199345300 = 223252713217192331
BaseRepresentation
bin1110010001011100000…
…1010001011010010100
3212102220100211022220100
43210113001101122110
513004132013022200
6304350520534100
723500161021630
oct3442701213224
9772810738810
10245199345300
1194a96702328
123b630921330
131a178618600
14bc21001dc0
1565a163cd00
hex3917051694

245199345300 has 2592 divisors, whose sum is σ = 1141846917120. Its totient is φ = 42699571200.

The previous prime is 245199345239. The next prime is 245199345311. The reversal of 245199345300 is 3543991542.

245199345300 is a `hidden beast` number, since 2 + 4 + 5 + 199 + 3 + 453 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 7909656285 + ... + 7909656315.

It is an arithmetic number, because the mean of its divisors is an integer number (440527360).

Almost surely, 2245199345300 is an apocalyptic number.

245199345300 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 245199345300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570923458560).

245199345300 is an abundant number, since it is smaller than the sum of its proper divisors (896647571820).

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

245199345300 is a wasteful number, since it uses less digits than its factorization.

245199345300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 245199345300 in words is "two hundred forty-five billion, one hundred ninety-nine million, three hundred forty-five thousand, three hundred".