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5269114102752 = 25347612671271
BaseRepresentation
bin100110010101100111110…
…1011001010001111100000
3200122201111121210000020000
41030223033223022033200
51142312121202242002
615112333025420000
71052452362615033
oct114531753121740
920581447700200
105269114102752
111751689600045
1271123379a600
132c2b4c131516
1414305295501a
15920dd61361c
hex4cacfaca3e0

5269114102752 has 120 divisors (see below), whose sum is σ = 15516687119472. Its totient is φ = 1754062732800.

The previous prime is 5269114102751. The next prime is 5269114102789. The reversal of 5269114102752 is 2572014119625.

5269114102752 is a `hidden beast` number, since 5 + 269 + 114 + 1 + 0 + 275 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5269114102698 and 5269114102707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5269114102751) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 636877 + ... + 3308147.

Almost surely, 25269114102752 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 5269114102752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7758343559736).

5269114102752 is an abundant number, since it is smaller than the sum of its proper divisors (10247573016720).

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

5269114102752 is a wasteful number, since it uses less digits than its factorization.

5269114102752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672054 (or 2672037 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 5269114102752 in words is "five trillion, two hundred sixty-nine billion, one hundred fourteen million, one hundred two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 761 864 1296 1522 2283 2592 3044 4566 6088 6849 9132 12176 13698 18264 20547 24352 27396 36528 41094 54792 61641 73056 82188 109584 123282 164376 219168 246564 328752 493128 657504 986256 1972512 2671271 5342542 8013813 10685084 16027626 21370168 24041439 32055252 42740336 48082878 64110504 72124317 85480672 96165756 128221008 144248634 192331512 216372951 256442016 288497268 384663024 432745902 576994536 769326048 865491804 1153989072 1730983608 2032837231 2307978144 3461967216 4065674462 6098511693 6923934432 8131348924 12197023386 16262697848 18295535079 24394046772 32525395696 36591070158 48788093544 54886605237 65050791392 73182140316 97576187088 109773210474 146364280632 164659815711 195152374176 219546420948 292728561264 329319631422 439092841896 585457122528 658639262844 878185683792 1317278525688 1756371367584 2634557051376 5269114102752