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204103390680 = 233357219414951
BaseRepresentation
bin1011111000010110000…
…0101001010111011000
3201111211022112112022000
42332011200221113120
511321000432000210
6233432552001000
720513605124100
oct2760540512730
9644738475260
10204103390680
1179618052372
1233681990160
13163294a07b7
149c4306a200
15549881dac0
hex2f858295d8

204103390680 has 768 divisors, whose sum is σ = 853566336000. Its totient is φ = 43110144000.

The previous prime is 204103390609. The next prime is 204103390691. The reversal of 204103390680 is 86093301402.

204103390680 is a `hidden beast` number, since 204 + 1 + 0 + 3 + 390 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41222205 + ... + 41227155.

It is an arithmetic number, because the mean of its divisors is an integer number (1111414500).

Almost surely, 2204103390680 is an apocalyptic number.

204103390680 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 204103390680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426783168000).

204103390680 is an abundant number, since it is smaller than the sum of its proper divisors (649462945320).

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

204103390680 is a wasteful number, since it uses less digits than its factorization.

204103390680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 204103390680 in words is "two hundred four billion, one hundred three million, three hundred ninety thousand, six hundred eighty".