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56478616350 = 235213173154959
BaseRepresentation
bin110100100110011000…
…110100101100011110
312101210002110222111120
4310212120310230132
51411132011210400
641540152431410
74036410214032
oct644630645436
9171702428446
1056478616350
1121a52785442
12ab426a8566
135431044720
142a3ad2a1c2
15170851eca0
hexd26634b1e

56478616350 has 192 divisors, whose sum is σ = 164869447680. Its totient is φ = 12662323200.

The previous prime is 56478616349. The next prime is 56478616351. The reversal of 56478616350 is 5361687465.

56478616350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56478616349) and next prime (56478616351).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56478616293 and 56478616302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56478616351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1000171 + ... + 1055129.

It is an arithmetic number, because the mean of its divisors is an integer number (858695040).

Almost surely, 256478616350 is an apocalyptic number.

56478616350 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 56478616350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82434723840).

56478616350 is an abundant number, since it is smaller than the sum of its proper divisors (108390831330).

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

56478616350 is a wasteful number, since it uses less digits than its factorization.

56478616350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55035 (or 55030 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 56478616350 in words is "fifty-six billion, four hundred seventy-eight million, six hundred sixteen thousand, three hundred fifty".