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56017793104 = 24713314792591
BaseRepresentation
bin110100001010111010…
…111011000001010000
312100120222100201211221
4310022322323001100
51404211023334404
641422331414424
74022113246030
oct641272730120
9170528321757
1056017793104
1121836647089
12aa342b4414
135389728550
1429d5a518c0
1516ccd44954
hexd0aebb050

56017793104 has 160 divisors (see below), whose sum is σ = 138231152640. Its totient is φ = 21392985600.

The previous prime is 56017793009. The next prime is 56017793147. The reversal of 56017793104 is 40139771065.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21618849 + ... + 21621439.

It is an arithmetic number, because the mean of its divisors is an integer number (863944704).

Almost surely, 256017793104 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 56017793104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69115576320).

56017793104 is an abundant number, since it is smaller than the sum of its proper divisors (82213359536).

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

56017793104 is a wasteful number, since it uses less digits than its factorization.

56017793104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The spelling of 56017793104 in words is "fifty-six billion, seventeen million, seven hundred ninety-three thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 364 403 434 479 496 728 806 868 958 1456 1612 1736 1916 2591 2821 3224 3353 3472 3832 5182 5642 6227 6448 6706 7664 10364 11284 12454 13412 14849 18137 20728 22568 24908 26824 29698 33683 36274 41456 43589 45136 49816 53648 59396 67366 72548 80321 87178 99632 103943 118792 134732 145096 160642 174356 193037 207886 235781 237584 269464 290192 321284 348712 386074 415772 471562 538928 562247 642568 697424 772148 831544 943124 1044173 1124494 1241089 1285136 1351259 1544296 1663088 1886248 2088346 2248988 2482178 2702518 3088592 3772496 4176692 4497976 4964356 5405036 7309211 8353384 8687623 8995952 9928712 10810072 14618422 16134157 16706768 17375246 19857424 21620144 29236844 32268314 34750492 38473759 58473688 64536628 69500984 76947518 112939099 116947376 129073256 139001968 153895036 225878198 258146512 269316313 307790072 451756396 500158867 538632626 615580144 903512792 1000317734 1077265252 1807025584 2000635468 2154530504 3501112069 4001270936 4309061008 7002224138 8002541872 14004448276 28008896552 56017793104