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1123708232640 = 2635719232127131
BaseRepresentation
bin10000010110100010001…
…110101110001111000000
310222102111011021202212010
4100112202032232033000
5121402323301421030
62220120251132520
7144120352244220
oct20264216561700
93872434252763
101123708232640
113a3620003094
12161947744140
1381c717c9ab6
143c560074080
151e36c05c6b0
hex105a23ae3c0

1123708232640 has 1344 divisors, whose sum is σ = 4556632227840. Its totient is φ = 229154365440.

The previous prime is 1123708232639. The next prime is 1123708232753. The reversal of 1123708232640 is 462328073211.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×11237082326402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 8577925375 + ... + 8577925505.

It is an arithmetic number, because the mean of its divisors is an integer number (3390351360).

Almost surely, 21123708232640 is an apocalyptic number.

1123708232640 is a gapful number since it is divisible by the number (10) 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 1123708232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278316113920).

1123708232640 is an abundant number, since it is smaller than the sum of its proper divisors (3432923995200).

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

1123708232640 is a wasteful number, since it uses less digits than its factorization.

1123708232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 1123708232640 in words is "one trillion, one hundred twenty-three billion, seven hundred eight million, two hundred thirty-two thousand, six hundred forty".