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5328074869104 = 2431321157497039
BaseRepresentation
bin100110110001000101000…
…0000101000100101110000
3200212100200200212021102010
41031202022000220211300
51144243344131302404
615155403411322520
71056640443065031
oct115421200504560
920770620767363
105328074869104
1117746953a7519
127207495b0440
132c8587495750
14145c473a6a88
15938de9d5189
hex4d88a028970

5328074869104 has 160 divisors (see below), whose sum is σ = 14897935360000. Its totient is φ = 1631122375680.

The previous prime is 5328074869069. The next prime is 5328074869153. The reversal of 5328074869104 is 4019684708235.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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, 756932817 + ... + 756939855.

It is an arithmetic number, because the mean of its divisors is an integer number (93112096000).

It is a 3-persistent number, because k⋅5328074869104 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 25328074869104 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 5328074869104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7448967680000).

5328074869104 is an abundant number, since it is smaller than the sum of its proper divisors (9569860490896).

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

5328074869104 is a wasteful number, since it uses less digits than its factorization.

5328074869104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13023 (or 13017 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 5328074869104 in words is "five trillion, three hundred twenty-eight billion, seventy-four million, eight hundred sixty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 211 312 422 624 633 844 1266 1688 2532 2743 3376 5064 5486 5749 7039 8229 10128 10972 11498 14078 16458 17247 21117 21944 22996 28156 32916 34494 42234 43888 45992 56312 65832 68988 74737 84468 91507 91984 112624 131664 137976 149474 168936 183014 224211 274521 275952 298948 337872 366028 448422 549042 597896 732056 896844 1098084 1195792 1213039 1464112 1485229 1793688 2196168 2426078 2970458 3587376 3639117 4392336 4455687 4852156 5940916 7278234 8911374 9704312 11881832 14556468 15769507 17822748 19307977 19408624 23763664 29112936 31539014 35645496 38615954 40467211 47308521 57923931 58225872 63078028 71290992 77231908 80934422 94617042 115847862 121401633 126156056 154463816 161868844 189234084 231695724 242803266 252312112 308927632 323737688 378468168 463391448 485606532 526073743 647475376 756936336 926782896 971213064 1052147486 1578221229 1942426128 2104294972 3156442458 4208589944 6312884916 8417179888 8538581521 12625769832 17077163042 25251539664 25615744563 34154326084 51231489126 68308652168 102462978252 111001559773 136617304336 204925956504 222003119546 333004679319 409851913008 444006239092 666009358638 888012478184 1332018717276 1776024956368 2664037434552 5328074869104