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56059148250 = 23453741153
BaseRepresentation
bin110100001101011000…
…101011011111011010
312100200212011210110000
4310031120223133122
51404302120221000
641430410033430
74023124620000
oct641530533732
9170625153400
1056059148250
1121857a22896
12aa46118876
135395177b51
1429db338a70
1516d17b3000
hexd0d62b7da

56059148250 has 400 divisors, whose sum is σ = 183041742312. Its totient is φ = 12802406400.

The previous prime is 56059148191. The next prime is 56059148261. The reversal of 56059148250 is 5284195065.

56059148250 is a `hidden beast` number, since 5 + 6 + 0 + 591 + 4 + 8 + 2 + 50 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24786408969 + 31272739281 = 157437^2 + 176841^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 56059148196 and 56059148205.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 48619674 + ... + 48620826.

Almost surely, 256059148250 is an apocalyptic number.

56059148250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56059148250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91520871156).

56059148250 is an abundant number, since it is smaller than the sum of its proper divisors (126982594062).

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

56059148250 is an equidigital number, since it uses as much as digits as its factorization.

56059148250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 56059148250 in words is "fifty-six billion, fifty-nine million, one hundred forty-eight thousand, two hundred fifty".