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13747726060 = 2252322774691
BaseRepresentation
bin11001100110110110…
…11010011011101100
31022111002202211210021
430303123122123230
5211123404213220
610152101251524
7664452512665
oct146333323354
938432684707
1013747726060
115915262082
1227b8103ba4
1313b1281463
14945ba836c
15556e004aa
hex3336da6ec

13747726060 has 72 divisors (see below), whose sum is σ = 30295436976. Its totient is φ = 5239893120.

The previous prime is 13747726049. The next prime is 13747726063. The reversal of 13747726060 is 6062774731.

It is a junction number, because it is equal to n+sod(n) for n = 13747725998 and 13747726016.

It is not an unprimeable number, because it can be changed into a prime (13747726063) 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, 2928315 + ... + 2933005.

It is an arithmetic number, because the mean of its divisors is an integer number (420769958).

Almost surely, 213747726060 is an apocalyptic number.

13747726060 is a gapful number since it is divisible by the number (10) 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 13747726060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15147718488).

13747726060 is an abundant number, since it is smaller than the sum of its proper divisors (16547710916).

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

13747726060 is a wasteful number, since it uses less digits than its factorization.

13747726060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 43.

The spelling of 13747726060 in words is "thirteen billion, seven hundred forty-seven million, seven hundred twenty-six thousand, sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 277 460 529 554 1058 1108 1385 2116 2645 2770 4691 5290 5540 6371 9382 10580 12742 18764 23455 25484 31855 46910 63710 93820 107893 127420 146533 215786 293066 431572 539465 586132 732665 1078930 1299407 1465330 2157860 2481539 2598814 2930660 4963078 5197628 6497035 9926156 12407695 12994070 24815390 25988140 29886361 49630780 59772722 119545444 149431805 298863610 597727220 687386303 1374772606 2749545212 3436931515 6873863030 13747726060