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56215441152 = 283613172947
BaseRepresentation
bin110100010110101100…
…111000111100000000
312101002202021022000000
4310112230320330000
51410112123104102
641454112000000
74030033236303
oct642654707400
9171082238000
1056215441152
1121928172a82
12aa8a530000
1353bb66b160
142a13dc0b3a
1516e038701c
hexd16b38f00

56215441152 has 1008 divisors, whose sum is σ = 202676826240. Its totient is φ = 15383789568.

The previous prime is 56215441147. The next prime is 56215441157. The reversal of 56215441152 is 25114451265.

56215441152 is a `hidden beast` number, since 5 + 62 + 1 + 5 + 441 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (56215441147) and next prime (56215441157).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56215441157) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1196073193 + ... + 1196073239.

It is an arithmetic number, because the mean of its divisors is an integer number (201068280).

Almost surely, 256215441152 is an apocalyptic number.

56215441152 is a gapful number since it is divisible by the number (52) 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 56215441152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101338413120).

56215441152 is an abundant number, since it is smaller than the sum of its proper divisors (146461385088).

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

56215441152 is a wasteful number, since it uses less digits than its factorization.

56215441152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 111 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

It can be divided in two parts, 562154 and 41152, that added together give a palindrome (603306).

The spelling of 56215441152 in words is "fifty-six billion, two hundred fifteen million, four hundred forty-one thousand, one hundred fifty-two".