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13690839624 = 23371146316001
BaseRepresentation
bin11001100000000100…
…11010001001001000
31022100010201201021020
430300002122021020
5211014323331444
610142310112440
7663162134220
oct146002321110
938303651236
1013690839624
1158961384a0
1227a104b720
1313a2554747
1493c3db080
15551e15119
hex33009a248

13690839624 has 128 divisors (see below), whose sum is σ = 42767585280. Its totient is φ = 3548160000.

The previous prime is 13690839601. The next prime is 13690839661. The reversal of 13690839624 is 42693809631.

It is a super-2 number, since 2×136908396242 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847624 + ... + 863624.

It is an arithmetic number, because the mean of its divisors is an integer number (334121760).

Almost surely, 213690839624 is an apocalyptic number.

13690839624 is a gapful number since it is divisible by the number (14) 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 13690839624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21383792640).

13690839624 is an abundant number, since it is smaller than the sum of its proper divisors (29076745656).

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

13690839624 is a wasteful number, since it uses less digits than its factorization.

13690839624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16491 (or 16487 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 13690839624 in words is "thirteen billion, six hundred ninety million, eight hundred thirty-nine thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 463 616 924 926 1389 1848 1852 2778 3241 3704 5093 5556 6482 9723 10186 11112 12964 15279 16001 19446 20372 25928 30558 32002 35651 38892 40744 48003 61116 64004 71302 77784 96006 106953 112007 122232 128008 142604 176011 192012 213906 224014 285208 336021 352022 384024 427812 448028 528033 672042 704044 855624 896056 1056066 1232077 1344084 1408088 2112132 2464154 2688168 3696231 4224264 4928308 7392462 7408463 9856616 14784924 14816926 22225389 29569848 29633852 44450778 51859241 59267704 81493093 88901556 103718482 155577723 162986186 177803112 207436964 244479279 311155446 325972372 414873928 488958558 570451651 622310892 651944744 977917116 1140903302 1244621784 1711354953 1955834232 2281806604 3422709906 4563613208 6845419812 13690839624