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56229319680 = 2103517253239
BaseRepresentation
bin110100010111100001…
…110101010000000000
312101010201101101202120
4310113201311100000
51410124201212210
641455325244240
74030262221422
oct642741652000
9171121341676
1056229319680
1121934a92136
12aa93103680
1353c14ba1c1
142a15b94812
1516e16c9270
hexd17875400

56229319680 has 528 divisors, whose sum is σ = 195466556160. Its totient is φ = 13788250112.

The previous prime is 56229319673. The next prime is 56229319709. The reversal of 56229319680 is 8691392265.

It is a super-3 number, since 3×562293196803 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235269001 + ... + 235269239.

Almost surely, 256229319680 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 56229319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97733278080).

56229319680 is an abundant number, since it is smaller than the sum of its proper divisors (139237236480).

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

56229319680 is a wasteful number, since it uses less digits than its factorization.

56229319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 56229319680 in words is "fifty-six billion, two hundred twenty-nine million, three hundred nineteen thousand, six hundred eighty".