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632690061696 = 27347112334457
BaseRepresentation
bin10010011010011110100…
…01000011000110000000
32020111002020222020210000
421031033101003012000
540331222123433241
61202353115440000
763465435535230
oct11151721030600
92214066866700
10632690061696
11224360055810
12a2752756000
134787c439594
142289da95cc0
15116cec16eb6
hex934f443180

632690061696 has 640 divisors, whose sum is σ = 2449616463360. Its totient is φ = 157185515520.

The previous prime is 632690061671. The next prime is 632690061697. The reversal of 632690061696 is 696160096236.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632690061697) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18344500 + ... + 18378956.

It is an arithmetic number, because the mean of its divisors is an integer number (3827525724).

Almost surely, 2632690061696 is an apocalyptic number.

632690061696 is a gapful number since it is divisible by the number (66) 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 632690061696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224808231680).

632690061696 is an abundant number, since it is smaller than the sum of its proper divisors (1816926401664).

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

632690061696 is a wasteful number, since it uses less digits than its factorization.

632690061696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34524 (or 34503 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 632690061696 in words is "six hundred thirty-two billion, six hundred ninety million, sixty-one thousand, six hundred ninety-six".