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1604893243392 = 21131023577
BaseRepresentation
bin10111010110101011000…
…101110111100000000000
312200102111202210000000000
4113112223011313200000
5202243310132242032
63225140000000000
7223643515325535
oct27265305674000
95612452700000
101604893243392
115696a443a69a
1221b057600000
13b845791692a
145796a51cd8c
152bb30e9de7c
hex175ab177800

1604893243392 has 528 divisors, whose sum is σ = 5031463666320. Its totient is φ = 510818254848.

The previous prime is 1604893243333. The next prime is 1604893243427. The reversal of 1604893243392 is 2933423984061.

1604893243392 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 8 + 9 + 3 + 243 + 392 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 2781443808 + ... + 2781444384.

Almost surely, 21604893243392 is an apocalyptic number.

1604893243392 is a gapful number since it is divisible by the number (12) 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 1604893243392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515731833160).

1604893243392 is an abundant number, since it is smaller than the sum of its proper divisors (3426570422928).

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

1604893243392 is an frugal number, since it uses more digits than its factorization.

1604893243392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 1604893243392 in words is "one trillion, six hundred four billion, eight hundred ninety-three million, two hundred forty-three thousand, three hundred ninety-two".