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14631265272 = 23313283165707
BaseRepresentation
bin11011010000001011…
…10110001111111000
31101202200022021201210
431220011312033320
5214431100442042
610415502443120
71025401463031
oct155005661770
941680267653
1014631265272
116228a71178
122a03b934a0
1314c2333620
149cb27ba88
155a9779a9c
hex3681763f8

14631265272 has 64 divisors (see below), whose sum is σ = 39531300480. Its totient is φ = 4485992832.

The previous prime is 14631265249. The next prime is 14631265291. The reversal of 14631265272 is 27256213641.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 14631265272.

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, 5443 + ... + 171149.

It is an arithmetic number, because the mean of its divisors is an integer number (617676570).

Almost surely, 214631265272 is an apocalyptic number.

14631265272 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 14631265272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19765650240).

14631265272 is an abundant number, since it is smaller than the sum of its proper divisors (24900035208).

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

14631265272 is a wasteful number, since it uses less digits than its factorization.

14631265272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166012 (or 166008 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The spelling of 14631265272 in words is "fourteen billion, six hundred thirty-one million, two hundred sixty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 283 312 566 849 1132 1698 2264 3396 3679 6792 7358 11037 14716 22074 29432 44148 88296 165707 331414 497121 662828 994242 1325656 1988484 2154191 3976968 4308382 6462573 8616764 12925146 17233528 25850292 46895081 51700584 93790162 140685243 187580324 281370486 375160648 562740972 609636053 1125481944 1219272106 1828908159 2438544212 3657816318 4877088424 7315632636 14631265272