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192942317568 = 21337112132331
BaseRepresentation
bin1011001110110001000…
…0100010000000000000
3200110000111000021021210
42303230100202000000
511130121213130233
6224345251250120
716640201432250
oct2635420420000
9613014007253
10192942317568
117490a9a9a00
1231487ba9940
131526b09b120
1494a4a2b960
155043a64163
hex2cec422000

192942317568 has 1344 divisors, whose sum is σ = 749694468096. Its totient is φ = 42821222400.

The previous prime is 192942317539. The next prime is 192942317597. The reversal of 192942317568 is 865713249291.

It is an interprime number because it is at equal distance from previous prime (192942317539) and next prime (192942317597).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1929423175682 (a number of 23 digits) contains 22 as substring.

Its product of digits (6531840) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6223945713 + ... + 6223945743.

It is an arithmetic number, because the mean of its divisors is an integer number (557808384).

Almost surely, 2192942317568 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 192942317568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374847234048).

192942317568 is an abundant number, since it is smaller than the sum of its proper divisors (556752150528).

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

192942317568 is a wasteful number, since it uses less digits than its factorization.

192942317568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 90 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 57.

The spelling of 192942317568 in words is "one hundred ninety-two billion, nine hundred forty-two million, three hundred seventeen thousand, five hundred sixty-eight".