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56166497280 = 2103353779139
BaseRepresentation
bin110100010011110010…
…001011110000000000
312100222100011200122000
4310103302023300000
51410012110403110
641445202544000
74025600230635
oct642362136000
9170870150560
1056166497280
11219025837a3
12aa76068000
1353b149269a
142a0b6c018c
1516dae1a1c0
hexd13c8bc00

56166497280 has 704 divisors, whose sum is σ = 209088768000. Its totient is φ = 14284947456.

The previous prime is 56166497267. The next prime is 56166497281. The reversal of 56166497280 is 8279466165.

56166497280 is a `hidden beast` number, since 561 + 6 + 6 + 4 + 9 + 72 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56166497281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 404075451 + ... + 404075589.

Almost surely, 256166497280 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 56166497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104544384000).

56166497280 is an abundant number, since it is smaller than the sum of its proper divisors (152922270720).

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

56166497280 is a wasteful number, since it uses less digits than its factorization.

56166497280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 56166497280 in words is "fifty-six billion, one hundred sixty-six million, four hundred ninety-seven thousand, two hundred eighty".