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5134272323264 = 267292391653503
BaseRepresentation
bin100101010110110101001…
…1110100101111011000000
3200011211110021011212202222
41022231222132211323000
51133104442203321024
614530352510230212
71036640024451350
oct112555236457300
920154407155688
105134272323264
1116aa483970367
126ab0814b5368
132b3210117916
1413a700412b60
158d84a69d85e
hex4ab6a7a5ec0

5134272323264 has 112 divisors (see below), whose sum is σ = 12095712460800. Its totient is φ = 2115635966976.

The previous prime is 5134272323251. The next prime is 5134272323309. The reversal of 5134272323264 is 4623232724315.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×51342723232642 (a number of 26 digits) contains 22 as substring.

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, 2278337 + ... + 3931839.

Almost surely, 25134272323264 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 5134272323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047856230400).

5134272323264 is an abundant number, since it is smaller than the sum of its proper divisors (6961440137536).

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

5134272323264 is a wasteful number, since it uses less digits than its factorization.

5134272323264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653790 (or 1653780 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 44.

The spelling of 5134272323264 in words is "five trillion, one hundred thirty-four billion, two hundred seventy-two million, three hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 239 406 448 464 478 812 928 956 1624 1673 1856 1912 3248 3346 3824 6496 6692 6931 7648 12992 13384 13862 15296 26768 27724 48517 53536 55448 97034 107072 110896 194068 221792 388136 443584 776272 1552544 1653503 3105088 3307006 6614012 11574521 13228024 23149042 26456048 46298084 47951587 52912096 92596168 95903174 105824192 185192336 191806348 335661109 370384672 383612696 395187217 671322218 740769344 767225392 790374434 1342644436 1534450784 1580748868 2685288872 2766310519 3068901568 3161497736 5370577744 5532621038 6322995472 10741155488 11065242076 11460429293 12645990944 21482310976 22130484152 22920858586 25291981888 44260968304 45841717172 80223005051 88521936608 91683434344 160446010102 177043873216 183366868688 320892020204 366733737376 641784040408 733467474752 1283568080816 2567136161632 5134272323264