Search a number
-
+
13744803690 = 23251511011391
BaseRepresentation
bin11001100110100000…
…10000111101101010
31022110220021101001100
430303100100331222
5211122132204230
610151514502230
7664415621652
oct146320207552
938426241040
1013744803690
1159136464a2
1227b7134976
1313b079a247
14945647362
15556a24660
hex333410f6a

13744803690 has 48 divisors (see below), whose sum is σ = 35973190656. Its totient is φ = 3641004000.

The previous prime is 13744803689. The next prime is 13744803719. The reversal of 13744803690 is 9630844731.

13744803690 is a `hidden beast` number, since 13 + 74 + 480 + 3 + 6 + 90 = 666.

It is a super-2 number, since 2×137448036902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492106 + ... + 519285.

It is an arithmetic number, because the mean of its divisors is an integer number (749441472).

Almost surely, 213744803690 is an apocalyptic number.

13744803690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13744803690 is an abundant number, since it is smaller than the sum of its proper divisors (22228386966).

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

13744803690 is a wasteful number, since it uses less digits than its factorization.

13744803690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011555 (or 1011552 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13744803690 in words is "thirteen billion, seven hundred forty-four million, eight hundred three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 151 302 453 755 906 1359 1510 2265 2718 4530 6795 13590 1011391 2022782 3034173 5056955 6068346 9102519 10113910 15170865 18205038 30341730 45512595 91025190 152720041 305440082 458160123 763600205 916320246 1374480369 1527200410 2290800615 2748960738 4581601230 6872401845 13744803690