Search a number
-
+
56111245344 = 2534721140163
BaseRepresentation
bin110100010000011111…
…011010100000100000
312100211111012121020000
4310100133122200200
51404403434322334
641435510420000
74024326500400
oct642037324040
9170744177200
1056111245344
1121884376140
12aa5b661600
1353a2bb892b
142a0421a800
1516d6154299
hexd107da820

56111245344 has 360 divisors, whose sum is σ = 209420397648. Its totient is φ = 14573986560.

The previous prime is 56111245321. The next prime is 56111245367. The reversal of 56111245344 is 44354211165.

56111245344 is a `hidden beast` number, since 5 + 6 + 1 + 112 + 4 + 534 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (56111245321) and next prime (56111245367).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56111245299 and 56111245308.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1377007 + ... + 1417169.

Almost surely, 256111245344 is an apocalyptic number.

56111245344 is a gapful number since it is divisible by the number (54) 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 56111245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104710198824).

56111245344 is an abundant number, since it is smaller than the sum of its proper divisors (153309152304).

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

56111245344 is a wasteful number, since it uses less digits than its factorization.

56111245344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40210 (or 40186 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 56111245344 in words is "fifty-six billion, one hundred eleven million, two hundred forty-five thousand, three hundred forty-four".