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5469442792960 = 29583103124967
BaseRepresentation
bin100111110010111010000…
…1100011101111000000000
3201100212120212112212220211
41033211310030131320000
51204102404323333320
615344343300443504
71103103614443366
oct117456414357000
921325525485824
105469442792960
111819639961043
127440213a9594
133089c6585233
1414ca18557636
159741586255a
hex4f97431de00

5469442792960 has 160 divisors (see below), whose sum is σ = 13285246689792. Its totient is φ = 2159235440640.

The previous prime is 5469442792939. The next prime is 5469442792981. The reversal of 5469442792960 is 692972449645.

It is an interprime number because it is at equal distance from previous prime (5469442792939) and next prime (5469442792981).

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

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219054397 + ... + 219079363.

Almost surely, 25469442792960 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 5469442792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6642623344896).

5469442792960 is an abundant number, since it is smaller than the sum of its proper divisors (7815803896832).

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

5469442792960 is a wasteful number, since it uses less digits than its factorization.

5469442792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26104 (or 26088 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 67.

The spelling of 5469442792960 in words is "five trillion, four hundred sixty-nine billion, four hundred forty-two million, seven hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 320 332 415 512 640 664 830 1031 1280 1328 1660 2062 2560 2656 3320 4124 5155 5312 6640 8248 10310 10624 13280 16496 20620 21248 24967 26560 32992 41240 42496 49934 53120 65984 82480 85573 99868 106240 124835 131968 164960 171146 199736 212480 249670 263936 329920 342292 399472 427865 499340 527872 659840 684584 798944 855730 998680 1319680 1369168 1597888 1711460 1997360 2072261 2639360 2738336 3195776 3422920 3994720 4144522 5476672 6391552 6845840 7989440 8289044 10361305 10953344 12783104 13691680 15978880 16578088 20722610 21906688 25740977 27383360 31957760 33156176 41445220 43813376 51481954 54766720 63915520 66312352 82890440 102963908 109533440 128704885 132624704 165780880 205927816 219066880 257409770 265249408 331561760 411855632 514819540 530498816 663123520 823711264 1029639080 1060997632 1326247040 1647422528 2059278160 2136501091 2652494080 3294845056 4118556320 4273002182 5304988160 6589690112 8237112640 8546004364 10682505455 13179380224 16474225280 17092008728 21365010910 32948450560 34184017456 42730021820 65896901120 68368034912 85460043640 136736069824 170920087280 273472139648 341840174560 546944279296 683680349120 1093888558592 1367360698240 2734721396480 5469442792960