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13614742812 = 223113111872803
BaseRepresentation
bin11001010111000000…
…00111110100011100
31022010211112121001210
430223200013310130
5210340333232222
610130551104420
7661246255506
oct145340076434
938124477053
1013614742812
115857192870
12277b672110
13138c85cb48
1493226cd76
1554a3d2d0c
hex32b807d1c

13614742812 has 96 divisors (see below), whose sum is σ = 35816546304. Its totient is φ = 3987806400.

The previous prime is 13614742769. The next prime is 13614742849. The reversal of 13614742812 is 21824741631.

It is a super-2 number, since 2×136147428122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4855803 + ... + 4858605.

It is an arithmetic number, because the mean of its divisors is an integer number (373089024).

Almost surely, 213614742812 is an apocalyptic number.

13614742812 is a gapful number since it is divisible by the number (12) 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 13614742812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17908273152).

13614742812 is an abundant number, since it is smaller than the sum of its proper divisors (22201803492).

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

13614742812 is a wasteful number, since it uses less digits than its factorization.

13614742812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039 (or 4037 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The spelling of 13614742812 in words is "thirteen billion, six hundred fourteen million, seven hundred forty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1187 1364 2046 2374 2803 3561 4092 4748 5606 7122 8409 11212 13057 14244 16818 26114 30833 33636 36797 39171 52228 61666 73594 78342 86893 92499 110391 123332 147188 156684 173786 184998 220782 260679 347572 369996 404767 441564 521358 809534 955823 1042716 1214301 1619068 1911646 2428602 2867469 3327161 3823292 4857204 5734938 6654322 9981483 11469876 13308644 19962966 36598771 39925932 73197542 103141991 109796313 146395084 206283982 219592626 309425973 412567964 439185252 618851946 1134561901 1237703892 2269123802 3403685703 4538247604 6807371406 13614742812