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56097016320 = 293526327773
BaseRepresentation
bin110100001111101001…
…001000101000000000
312100210111102200200010
4310033221020220000
51404341314010240
641434241424520
74024064525352
oct641751105000
9170714380603
1056097016320
1121877337714
12aa5693b140
13539cc761a7
142a023950d2
1516d4c93280
hexd0fa48a00

56097016320 has 160 divisors (see below), whose sum is σ = 180023513472. Its totient is φ = 14901788672.

The previous prime is 56097016319. The next prime is 56097016343. The reversal of 56097016320 is 2361079065.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2005954 + ... + 2033726.

Almost surely, 256097016320 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 56097016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90011756736).

56097016320 is an abundant number, since it is smaller than the sum of its proper divisors (123926497152).

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

56097016320 is a wasteful number, since it uses less digits than its factorization.

56097016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28062 (or 28046 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 56097016320 in words is "fifty-six billion, ninety-seven million, sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 263 320 384 480 512 526 640 768 789 960 1052 1280 1315 1536 1578 1920 2104 2560 2630 3156 3840 3945 4208 5260 6312 7680 7890 8416 10520 12624 15780 16832 21040 25248 27773 31560 33664 42080 50496 55546 63120 67328 83319 84160 100992 111092 126240 134656 138865 166638 168320 201984 222184 252480 277730 333276 336640 403968 416595 444368 504960 555460 666552 673280 833190 888736 1009920 1110920 1333104 1666380 1777472 2019840 2221840 2666208 3332760 3554944 4443680 5332416 6665520 7109888 7304299 8887360 10664832 13331040 14219776 14608598 17774720 21329664 21912897 26662080 29217196 35549440 36521495 42659328 43825794 53324160 58434392 71098880 73042990 87651588 106648320 109564485 116868784 146085980 175303176 213296640 219128970 233737568 292171960 350606352 438257940 467475136 584343920 701212704 876515880 934950272 1168687840 1402425408 1753031760 1869900544 2337375680 2804850816 3506063520 3739801088 4674751360 5609701632 7012127040 9349502720 11219403264 14024254080 18699005440 28048508160 56097016320