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56711405248 = 266127775231
BaseRepresentation
bin110100110100010000…
…110101111011000000
312102101022111212211121
4310310100311323000
51412121104431443
642015230122024
74045234663621
oct646420657300
9172338455747
1056711405248
1122062123163
12aba8650314
13546a33c234
142a5dc05a48
15171dba44ed
hexd34435ec0

56711405248 has 56 divisors (see below), whose sum is σ = 114444621504. Its totient is φ = 27875481600.

The previous prime is 56711405209. The next prime is 56711405249. The reversal of 56711405248 is 84250411765.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (56711405249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10838793 + ... + 10844023.

Almost surely, 256711405248 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 56711405248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57222310752).

56711405248 is an abundant number, since it is smaller than the sum of its proper divisors (57733216256).

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

56711405248 is a wasteful number, since it uses less digits than its factorization.

56711405248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8081 (or 8071 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 56711405248 in words is "fifty-six billion, seven hundred eleven million, four hundred five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 2777 3904 5231 5554 10462 11108 20924 22216 41848 44432 83696 88864 167392 169397 177728 319091 334784 338794 638182 677588 1276364 1355176 2552728 2710352 5105456 5420704 10210912 10841408 14526487 20421824 29052974 58105948 116211896 232423792 464847584 886115707 929695168 1772231414 3544462828 7088925656 14177851312 28355702624 56711405248