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5056266240 = 215355127
BaseRepresentation
bin1001011010110000…
…01000000000000000
3111001101020221100000
410231120020000000
540323401004430
62153421200000
7236204360664
oct45530100000
914041227300
105056266240
112165148733
12b91400000
136276cc21c
1435d74a8a4
151e8d6ce60
hex12d608000

5056266240 has 384 divisors, whose sum is σ = 18320440320. Its totient is φ = 1337720832.

The previous prime is 5056266211. The next prime is 5056266269. The reversal of 5056266240 is 426626505.

5056266240 is a `hidden beast` number, since 5 + 0 + 5 + 6 + 26 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5056266211) and next prime (5056266269).

It is a tau number, because it is divible by the number of its divisors (384).

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 = 5056266195 and 5056266204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39813057 + ... + 39813183.

It is an arithmetic number, because the mean of its divisors is an integer number (47709480).

Almost surely, 25056266240 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 5056266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160220160).

5056266240 is an abundant number, since it is smaller than the sum of its proper divisors (13264174080).

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

5056266240 is an frugal number, since it uses more digits than its factorization.

5056266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5056266240 is about 71107.4274601465. The cubic root of 5056266240 is about 1716.3662966887.

The spelling of 5056266240 in words is "five billion, fifty-six million, two hundred sixty-six thousand, two hundred forty".