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56745068944 = 241719371671777
BaseRepresentation
bin110100110110010001…
…010000100110010000
312102110122212011202011
4310312101100212100
51412203214201234
642022431432304
74046124061534
oct646621204620
9172418764664
1056745068944
112207a1261a3
12abb7985694
1354742c7995
142a64489bc4
151721b03b64
hexd36450990

56745068944 has 160 divisors (see below), whose sum is σ = 126674392320. Its totient is φ = 24453218304.

The previous prime is 56745068921. The next prime is 56745068983. The reversal of 56745068944 is 44986054765.

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, 31932184 + ... + 31933960.

It is an arithmetic number, because the mean of its divisors is an integer number (791714952).

Almost surely, 256745068944 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 56745068944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63337196160).

56745068944 is an abundant number, since it is smaller than the sum of its proper divisors (69929323376).

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

56745068944 is a wasteful number, since it uses less digits than its factorization.

56745068944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 58.

The spelling of 56745068944 in words is "fifty-six billion, seven hundred forty-five million, sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 19 34 37 38 68 74 76 136 148 152 167 272 296 304 323 334 592 629 646 668 703 1258 1292 1336 1406 1777 2516 2584 2672 2812 2839 3173 3554 5032 5168 5624 5678 6179 6346 7108 10064 11248 11356 11951 12358 12692 14216 22712 23902 24716 25384 28432 30209 33763 45424 47804 49432 50768 53941 60418 65749 67526 95608 98864 105043 107882 117401 120836 131498 135052 191216 210086 215764 234802 241672 262996 270104 296759 420172 431528 469604 483344 525992 540208 573971 593518 840344 863056 939208 1051984 1117733 1147942 1187036 1249231 1680688 1878416 1995817 2235466 2295884 2374072 2498462 3991634 4470932 4591768 4748144 4996924 5044903 5638421 7983268 8941864 9183536 9993848 10089806 10980083 11276842 15966536 17883728 19987696 20179612 21236927 21960166 22553684 31933072 40359224 42473854 43920332 45107368 80718448 84947708 87840664 90214736 95853157 169895416 175681328 186661411 191706314 208621577 339790832 373322822 383412628 417243154 746645644 766825256 834486308 1493291288 1533650512 1668972616 2986582576 3337945232 3546566809 7093133618 14186267236 28372534472 56745068944