Search a number
-
+
56127360000 = 210354233141
BaseRepresentation
bin110100010001011100…
…111000110000000000
312100212121112022101010
4310101130320300000
51404422101010000
641441244040520
74024613455035
oct642134706000
9170777468333
1056127360000
1121892482338
12aa64b33140
1353a633b72a
142a0641338c
1516d7788d50
hexd11738c00

56127360000 has 880 divisors, whose sum is σ = 206271571968. Its totient is φ = 13516800000.

The previous prime is 56127359989. The next prime is 56127360017. The reversal of 56127360000 is 6372165.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 56127360000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1368959980 + ... + 1368960020.

Almost surely, 256127360000 is an apocalyptic number.

56127360000 is a gapful number since it is divisible by the number (50) 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 56127360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103135785984).

56127360000 is an abundant number, since it is smaller than the sum of its proper divisors (150144211968).

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

56127360000 is a wasteful number, since it uses less digits than its factorization.

56127360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 56127360000 in words is "fifty-six billion, one hundred twenty-seven million, three hundred sixty thousand".