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997588472832 = 21034747139263
BaseRepresentation
bin11101000010001001110…
…10000001010000000000
310112100221122201011010000
432201010322001100000
5112321030122112312
62042141423040000
7132034113052410
oct16410472012000
93470848634100
10997588472832
1135509075a936
1214140a440000
13730c27a51a3
14363d8066640
151ae39bb4adc
hexe844e81400

997588472832 has 880 divisors, whose sum is σ = 3515332423680. Its totient is φ = 275900940288.

The previous prime is 997588472831. The next prime is 997588472843. The reversal of 997588472832 is 238274885799.

997588472832 is a `hidden beast` number, since 9 + 9 + 7 + 588 + 4 + 7 + 2 + 8 + 32 = 666.

It is a super-2 number, since 2×9975884728322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997588472831) 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, 3793111933 + ... + 3793112195.

It is an arithmetic number, because the mean of its divisors is an integer number (3994695936).

Almost surely, 2997588472832 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 997588472832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757666211840).

997588472832 is an abundant number, since it is smaller than the sum of its proper divisors (2517743950848).

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

997588472832 is a wasteful number, since it uses less digits than its factorization.

997588472832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 461 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 997588472832 in words is "nine hundred ninety-seven billion, five hundred eighty-eight million, four hundred seventy-two thousand, eight hundred thirty-two".