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56801694320 = 24573113124977
BaseRepresentation
bin110100111001101001…
…010001001001110000
312102121121102001011022
4310321221101021300
51412312213204240
642032213235012
74050412302230
oct647151211160
9172547361138
1056801694320
11220a9091728
12b012932a68
135482c62917
142a6bbc9cc0
151726a8b9b5
hexd39a51270

56801694320 has 160 divisors (see below), whose sum is σ = 156994523136. Its totient is φ = 18702028800.

The previous prime is 56801694251. The next prime is 56801694349. The reversal of 56801694320 is 2349610865.

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, 2261672 + ... + 2286648.

Almost surely, 256801694320 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 56801694320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78497261568).

56801694320 is an abundant number, since it is smaller than the sum of its proper divisors (100192828816).

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

56801694320 is a wasteful number, since it uses less digits than its factorization.

56801694320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25159 (or 25153 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 56801694320 in words is "fifty-six billion, eight hundred one million, six hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 131 140 155 217 248 262 280 310 434 496 524 560 620 655 868 917 1048 1085 1240 1310 1736 1834 2096 2170 2480 2620 3472 3668 4061 4340 4585 5240 7336 8122 8680 9170 10480 14672 16244 17360 18340 20305 24977 28427 32488 36680 40610 49954 56854 64976 73360 81220 99908 113708 124885 142135 162440 174839 199816 227416 249770 284270 324880 349678 399632 454832 499540 568540 699356 774287 874195 999080 1137080 1398712 1548574 1748390 1998160 2274160 2797424 3097148 3271987 3496780 3871435 5420009 6194296 6543974 6993560 7742870 10840018 12388592 13087948 13987120 15485740 16359935 21680036 22903909 26175896 27100045 30971480 32719870 43360072 45807818 52351792 54200090 61942960 65439740 86720144 91615636 101431597 108400180 114519545 130879480 183231272 202863194 216800360 229039090 261758960 366462544 405726388 433600720 458078180 507157985 710021179 811452776 916156360 1014315970 1420042358 1622905552 1832312720 2028631940 2840084716 3550105895 4057263880 5680169432 7100211790 8114527760 11360338864 14200423580 28400847160 56801694320