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56017792608 = 2533159319037
BaseRepresentation
bin110100001010111010…
…111010111001100000
312100120222100201011120
4310022322322321200
51404211023330413
641422331412240
74022113244421
oct641272727140
9170528321146
1056017792608
1121836646778
12aa342b4080
13538972825b
1429d5a51648
1516ccd44723
hexd0aebae60

56017792608 has 96 divisors (see below), whose sum is σ = 154363345920. Its totient is φ = 17763924480.

The previous prime is 56017792603. The next prime is 56017792613. The reversal of 56017792608 is 80629771065.

56017792608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56017792603) and next prime (56017792613).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56017792603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16066 + ... + 335102.

It is an arithmetic number, because the mean of its divisors is an integer number (1607951520).

Almost surely, 256017792608 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 56017792608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77181672960).

56017792608 is an abundant number, since it is smaller than the sum of its proper divisors (98345553312).

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

56017792608 is a wasteful number, since it uses less digits than its factorization.

56017792608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319140 (or 319132 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 56017792608 in words is "fifty-six billion, seventeen million, seven hundred ninety-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 59 62 93 96 118 124 177 186 236 248 354 372 472 496 708 744 944 992 1416 1488 1829 1888 2832 2976 3658 5487 5664 7316 10974 14632 21948 29264 43896 58528 87792 175584 319037 638074 957111 1276148 1914222 2552296 3828444 5104592 7656888 9890147 10209184 15313776 18823183 19780294 29670441 30627552 37646366 39560588 56469549 59340882 75292732 79121176 112939098 118681764 150585464 158242352 225878196 237363528 301170928 316484704 451756392 474727056 583518673 602341856 903512784 949454112 1167037346 1750556019 1807025568 2334074692 3501112038 4668149384 7002224076 9336298768 14004448152 18672597536 28008896304 56017792608