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10923255751680 = 21036510926849
BaseRepresentation
bin1001111011110100010011…
…0001110110010000000000
31102200020211110210221000000
42132331010301312100000
52412431311433023210
635122024024000000
72205115313633166
oct236750461662000
942606743727000
1010923255751680
1135315881152a8
121285000300000
1361309b97b12c
1429a98cd79236
1513e213e4cac0
hex9ef44c76400

10923255751680 has 616 divisors, whose sum is σ = 39648451491000. Its totient is φ = 2886037143552.

The previous prime is 10923255751637. The next prime is 10923255751687. The reversal of 10923255751680 is 8615755232901.

10923255751680 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 3 + 2 + 5 + 575 + 1 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 988958647296 + 9934297104384 = 994464^2 + 3151872^2 .

It is a super-2 number, since 2×109232557516802 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10923255751687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 406826896 + ... + 406853744.

Almost surely, 210923255751680 is an apocalyptic number.

10923255751680 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 10923255751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19824225745500).

10923255751680 is an abundant number, since it is smaller than the sum of its proper divisors (28725195739320).

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

10923255751680 is an equidigital number, since it uses as much as digits as its factorization.

10923255751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27001 (or 26968 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 10923255751680 in words is "ten trillion, nine hundred twenty-three billion, two hundred fifty-five million, seven hundred fifty-one thousand, six hundred eighty".