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992429631648 = 253372131803211
BaseRepresentation
bin11100111000100010110…
…10100110100010100000
310111212122010102212102000
432130101122212202200
5112224443441203043
62035525455124000
7131462221453200
oct16342132464240
93455563385360
10992429631648
11352983722124
1214040a813600
137277ca70440
1436068c58400
151ac36d342d3
hexe7116a68a0

992429631648 has 288 divisors, whose sum is σ = 3626187203520. Its totient is φ = 261739537920.

The previous prime is 992429631647. The next prime is 992429631701. The reversal of 992429631648 is 846136924299.

992429631648 is a `hidden beast` number, since 9 + 9 + 24 + 296 + 316 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (992429631647) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 351238 + ... + 1451973.

It is an arithmetic number, because the mean of its divisors is an integer number (12590927790).

Almost surely, 2992429631648 is an apocalyptic number.

992429631648 is a gapful number since it is divisible by the number (98) 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 992429631648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813093601760).

992429631648 is an abundant number, since it is smaller than the sum of its proper divisors (2633757571872).

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

992429631648 is a wasteful number, since it uses less digits than its factorization.

992429631648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803257 (or 1803236 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 992429631648 in words is "nine hundred ninety-two billion, four hundred twenty-nine million, six hundred thirty-one thousand, six hundred forty-eight".