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13827757272 = 2337224414817
BaseRepresentation
bin11001110000011001…
…01101010011011000
31022200200100211222020
430320030231103120
5211304401213042
610204040454440
7666443666100
oct147014552330
938620324866
1013827757272
11595645477a
12281aa7a420
1313c4a22ac4
1495267c200
1555de5d3ec
hex33832d4d8

13827757272 has 96 divisors (see below), whose sum is σ = 40238201520. Its totient is φ = 3948349440.

The previous prime is 13827757231. The next prime is 13827757277. The reversal of 13827757272 is 27275772831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13827757277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2868208 + ... + 2873024.

Almost surely, 213827757272 is an apocalyptic number.

13827757272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13827757272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20119100760).

13827757272 is an abundant number, since it is smaller than the sum of its proper divisors (26410444248).

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

13827757272 is a wasteful number, since it uses less digits than its factorization.

13827757272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7281 (or 7270 counting only the distinct ones).

The product of its digits is 2304960, while the sum is 51.

The spelling of 13827757272 in words is "thirteen billion, eight hundred twenty-seven million, seven hundred fifty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 2441 4817 4882 7323 9634 9764 14451 14646 17087 19268 19528 28902 29292 33719 34174 38536 51261 57804 58584 67438 68348 101157 102522 115608 119609 134876 136696 202314 205044 236033 239218 269752 358827 404628 410088 472066 478436 708099 717654 809256 944132 956872 1416198 1435308 1888264 2832396 2870616 5664792 11758297 23516594 35274891 47033188 70549782 82308079 94066376 141099564 164616158 246924237 282199128 329232316 493848474 576156553 658464632 987696948 1152313106 1728469659 1975393896 2304626212 3456939318 4609252424 6913878636 13827757272