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204381254196 = 2232721572273251
BaseRepresentation
bin1011111001011000010…
…0100111001000110100
3201112112200101110101100
42332112010213020310
511322033100113241
6233520315330100
720523520665600
oct2762604471064
9645480343340
10204381254196
117974a987339
123373aa50930
1316371c1a892
149c6bd1a500
1554b2e089b6
hex2f96127234

204381254196 has 216 divisors, whose sum is σ = 607657298976. Its totient is φ = 57749328000.

The previous prime is 204381254179. The next prime is 204381254213. The reversal of 204381254196 is 691452183402.

204381254196 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 8 + 12 + 541 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (204381254179) and next prime (204381254213).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62865571 + ... + 62868821.

It is an arithmetic number, because the mean of its divisors is an integer number (2813228236).

Almost surely, 2204381254196 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 204381254196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303828649488).

204381254196 is an abundant number, since it is smaller than the sum of its proper divisors (403276044780).

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

204381254196 is a wasteful number, since it uses less digits than its factorization.

204381254196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 204381254196 in words is "two hundred four billion, three hundred eighty-one million, two hundred fifty-four thousand, one hundred ninety-six".