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13743786264 = 23313316072341
BaseRepresentation
bin11001100110011000…
…11000100100011000
31022110211100200101220
430303030120210120
5211121402130024
610151441012040
7664404153465
oct146314304430
938424320356
1013743786264
11591301104a
1227b6924020
1313b0502110
1494546066c
155568c2e79
hex333318918

13743786264 has 128 divisors (see below), whose sum is σ = 38275399680. Its totient is φ = 4083955200.

The previous prime is 13743786263. The next prime is 13743786359. The reversal of 13743786264 is 46268734731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13743786263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5869734 + ... + 5872074.

It is an arithmetic number, because the mean of its divisors is an integer number (299026560).

Almost surely, 213743786264 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 13743786264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19137699840).

13743786264 is an abundant number, since it is smaller than the sum of its proper divisors (24531613416).

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

13743786264 is a wasteful number, since it uses less digits than its factorization.

13743786264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2997 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 51.

The spelling of 13743786264 in words is "thirteen billion, seven hundred forty-three million, seven hundred eighty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 607 744 806 1209 1214 1612 1821 2341 2418 2428 3224 3642 4682 4836 4856 7023 7284 7891 9364 9672 14046 14568 15782 18728 18817 23673 28092 30433 31564 37634 47346 56184 56451 60866 63128 72571 75268 91299 94692 112902 121732 145142 150536 182598 189384 217713 225804 243464 244621 290284 365196 435426 451608 489242 580568 730392 733863 870852 943423 978484 1420987 1467726 1741704 1886846 1956968 2830269 2841974 2935452 3773692 4262961 5660538 5683948 5870904 7547384 8525922 11321076 11367896 17051844 18472831 22642152 34103688 36945662 44050597 55418493 73891324 88101194 110836986 132151791 147782648 176202388 221673972 264303582 352404776 443347944 528607164 572657761 1057214328 1145315522 1717973283 2290631044 3435946566 4581262088 6871893132 13743786264