Search a number
-
+
56164727808 = 2103372910007
BaseRepresentation
bin110100010011101011…
…011011110000000000
312100222012211210101000
4310103223123300000
51410011132242213
641445101012000
74025546211060
oct642353336000
9170865753330
1056164727808
1121901585322
12aa75554000
1353b0cc3167
142a0b37d3a0
1516dabbac73
hexd13adbc00

56164727808 has 352 divisors, whose sum is σ = 196669209600. Its totient is φ = 15492169728.

The previous prime is 56164727807. The next prime is 56164727831. The reversal of 56164727808 is 80872746165.

56164727808 is a `hidden beast` number, since 561 + 6 + 4 + 7 + 2 + 78 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56164727807) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5607541 + ... + 5617547.

Almost surely, 256164727808 is an apocalyptic number.

56164727808 is a gapful number since it is divisible by the number (58) 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 56164727808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98334604800).

56164727808 is an abundant number, since it is smaller than the sum of its proper divisors (140504481792).

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

56164727808 is a wasteful number, since it uses less digits than its factorization.

56164727808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10072 (or 10048 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 56164727808 in words is "fifty-six billion, one hundred sixty-four million, seven hundred twenty-seven thousand, eight hundred eight".