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5655805005312 = 29347111931297
BaseRepresentation
bin101001001001101100000…
…1111111000111000000000
3202000200121202221011210000
41102103120033320320000
51220131042040132222
620010124013440000
71122422056221510
oct122233017707000
922020552834700
105655805005312
11189068252a560
127741717a0000
13320456336277
14157a572cb840
159c1c18a09ac
hex524d83f8e00

5655805005312 has 2400 divisors, whose sum is σ = 23127972215040. Its totient is φ = 1332943257600.

The previous prime is 5655805005299. The next prime is 5655805005313. The reversal of 5655805005312 is 2135005085565.

It is a happy number.

5655805005312 is a `hidden beast` number, since 5 + 6 + 5 + 5 + 80 + 500 + 53 + 12 = 666.

It is a super-2 number, since 2×56558050053122 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5655805005313) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 58307268048 + ... + 58307268144.

Almost surely, 25655805005312 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 5655805005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11563986107520).

5655805005312 is an abundant number, since it is smaller than the sum of its proper divisors (17472167209728).

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

5655805005312 is a wasteful number, since it uses less digits than its factorization.

5655805005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 45.

The spelling of 5655805005312 in words is "five trillion, six hundred fifty-five billion, eight hundred five million, five thousand, three hundred twelve".