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992948666592 = 253193308317383
BaseRepresentation
bin11100111001100000101…
…10100100000011100000
310111220222022002120111110
432130300112210003200
5112232024324312332
62040053155543320
7131511123256461
oct16346026440340
93456868076443
10992948666592
1135311a6aa823
121405345bab40
137283345b5cc
14360b7b66d68
151ac676ac4cc
hexe7305a40e0

992948666592 has 96 divisors (see below), whose sum is σ = 2620995971328. Its totient is φ = 329142214656.

The previous prime is 992948666579. The next prime is 992948666623. The reversal of 992948666592 is 295666849299.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57113133 + ... + 57130515.

It is an arithmetic number, because the mean of its divisors is an integer number (27302041368).

Almost surely, 2992948666592 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 992948666592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310497985664).

992948666592 is an abundant number, since it is smaller than the sum of its proper divisors (1628047304736).

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

992948666592 is a wasteful number, since it uses less digits than its factorization.

992948666592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20672 (or 20664 counting only the distinct ones).

The product of its digits is 906992640, while the sum is 75.

The spelling of 992948666592 in words is "nine hundred ninety-two billion, nine hundred forty-eight million, six hundred sixty-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 193 386 579 772 1158 1544 2316 3083 3088 4632 6166 6176 9249 9264 12332 17383 18498 18528 24664 34766 36996 49328 52149 69532 73992 98656 104298 139064 147984 208596 278128 295968 417192 556256 595019 834384 1190038 1668768 1785057 2380076 3354919 3570114 4760152 6709838 7140228 9520304 10064757 13419676 14280456 19040608 20129514 26839352 28560912 40259028 53591789 53678704 57121824 80518056 107183578 107357408 160775367 161036112 214367156 321550734 322072224 428734312 643101468 857468624 1286202936 1714937248 2572405872 5144811744 10343215277 20686430554 31029645831 41372861108 62059291662 82745722216 124118583324 165491444432 248237166648 330982888864 496474333296 992948666592