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204697093392 = 2432117913112487
BaseRepresentation
bin1011111010100011100…
…1011100010100010000
3201120100200200202022100
42332220321130110100
511323204423442032
6234011521040400
720534404404561
oct2765071342420
9646320622270
10204697093392
11798a2199a70
1233808786100
13163c24a2c8c
149c9bc54168
1554d09e597c
hex2fa8e5c510

204697093392 has 240 divisors, whose sum is σ = 637739182080. Its totient is φ = 60771859200.

The previous prime is 204697093357. The next prime is 204697093409. The reversal of 204697093392 is 293390796402.

204697093392 is a `hidden beast` number, since 2 + 0 + 469 + 7 + 0 + 93 + 3 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16386573 + ... + 16399059.

It is an arithmetic number, because the mean of its divisors is an integer number (2657246592).

Almost surely, 2204697093392 is an apocalyptic number.

204697093392 is a gapful number since it is divisible by the number (22) 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 204697093392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318869591040).

204697093392 is an abundant number, since it is smaller than the sum of its proper divisors (433042088688).

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

204697093392 is a wasteful number, since it uses less digits than its factorization.

204697093392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12722 (or 12713 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 204697093392 in words is "two hundred four billion, six hundred ninety-seven million, ninety-three thousand, three hundred ninety-two".