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13735065648 = 2431920117489
BaseRepresentation
bin11001100101010110…
…00111100000110000
31022110012221121222010
430302223013200300
5211112134100043
610150530042520
7664240063113
oct146253074060
938405847863
1013735065648
1159090a5127
1227b3a19440
1313ab76a9a5
1494423057a
15555c4e133
hex332ac7830

13735065648 has 80 divisors (see below), whose sum is σ = 37373302400. Its totient is φ = 4334653440.

The previous prime is 13735065647. The next prime is 13735065679. The reversal of 13735065648 is 84656053731.

It is a super-3 number, since 3×137350656483 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 13735065597 and 13735065606.

It is not an unprimeable number, because it can be changed into a prime (13735065647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1830288 + ... + 1837776.

It is an arithmetic number, because the mean of its divisors is an integer number (467166280).

Almost surely, 213735065648 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 13735065648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18686651200).

13735065648 is an abundant number, since it is smaller than the sum of its proper divisors (23638236752).

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

13735065648 is a wasteful number, since it uses less digits than its factorization.

13735065648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9530 (or 9524 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 13735065648 in words is "thirteen billion, seven hundred thirty-five million, sixty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2011 4022 6033 7489 8044 12066 14978 16088 22467 24132 29956 32176 38209 44934 48264 59912 76418 89868 96528 114627 119824 142291 152836 179736 229254 284582 305672 359472 426873 458508 569164 611344 853746 917016 1138328 1707492 1834032 2276656 3414984 6829968 15060379 30120758 45181137 60241516 90362274 120483032 180724548 240966064 286147201 361449096 572294402 722898192 858441603 1144588804 1716883206 2289177608 3433766412 4578355216 6867532824 13735065648