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992157551520 = 25353783673069
BaseRepresentation
bin11100111000000010011…
…00101100101110100000
310111211221011110202122020
432130001030230232200
5112223414313122040
62035442455341440
7131452406016522
oct16340114545640
93454834422566
10992157551520
11352854088313
12140353681880
1372738599895
1436040a71a12
151ac1cedccd0
hexe70132cba0

992157551520 has 192 divisors, whose sum is σ = 3248440433280. Its totient is φ = 254322782208.

The previous prime is 992157551509. The next prime is 992157551587. The reversal of 992157551520 is 25155751299.

It is a super-2 number, since 2×9921575515202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1137546 + ... + 1810614.

It is an arithmetic number, because the mean of its divisors is an integer number (16918960590).

Almost surely, 2992157551520 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 992157551520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624220216640).

992157551520 is an abundant number, since it is smaller than the sum of its proper divisors (2256282881760).

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

992157551520 is a wasteful number, since it uses less digits than its factorization.

992157551520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673207 (or 673199 counting only the distinct ones).

The product of its (nonzero) digits is 1417500, while the sum is 51.

The spelling of 992157551520 in words is "nine hundred ninety-two billion, one hundred fifty-seven million, five hundred fifty-one thousand, five hundred twenty".