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991465090560 = 293457297579
BaseRepresentation
bin11100110110101111110…
…11001010111000000000
310111210010220111002210000
432123113323022320000
5112221010030344220
62035250041440000
7131426300135100
oct16332773127000
93453126432700
10991465090560
1135252921812a
1214019b7a0000
1372657c99b79
1435db6adb200
151abcc309390
hexe6d7ecae00

991465090560 has 600 divisors, whose sum is σ = 4130930837880. Its totient is φ = 226618269696.

The previous prime is 991465090531. The next prime is 991465090673. The reversal of 991465090560 is 65090564199.

991465090560 is a `hidden beast` number, since 9 + 9 + 14 + 65 + 0 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×9914650905602 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 991465090497 and 991465090506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10111851 + ... + 10209429.

Almost surely, 2991465090560 is an apocalyptic number.

991465090560 is a gapful number since it is divisible by the number (90) 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 991465090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065465418940).

991465090560 is an abundant number, since it is smaller than the sum of its proper divisors (3139465747320).

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

991465090560 is an equidigital number, since it uses as much as digits as its factorization.

991465090560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97628 (or 97596 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 991465090560 in words is "nine hundred ninety-one billion, four hundred sixty-five million, ninety thousand, five hundred sixty".