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13725464214 = 237111511811087
BaseRepresentation
bin11001100100001100…
…11111011010010110
31022102112212211021110
430302012133122112
5211102204323324
610145544155450
7664062343440
oct146206373226
938375784243
1013725464214
115903737460
1227b0768b86
1313a9788677
14942c51490
15554ea4329
hex33219f696

13725464214 has 128 divisors (see below), whose sum is σ = 34673393664. Its totient is φ = 3518640000.

The previous prime is 13725464213. The next prime is 13725464227. The reversal of 13725464214 is 41246452731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13725464213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12626379 + ... + 12627465.

It is an arithmetic number, because the mean of its divisors is an integer number (270885888).

Almost surely, 213725464214 is an apocalyptic number.

13725464214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13725464214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336696832).

13725464214 is an abundant number, since it is smaller than the sum of its proper divisors (20947929450).

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

13725464214 is a wasteful number, since it uses less digits than its factorization.

13725464214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442.

The product of its digits is 161280, while the sum is 39.

The spelling of 13725464214 in words is "thirteen billion, seven hundred twenty-five million, four hundred sixty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 151 154 181 231 302 362 453 462 543 906 1057 1086 1087 1267 1661 1991 2114 2174 2534 3171 3261 3322 3801 3982 4983 5973 6342 6522 7602 7609 9966 11627 11946 11957 13937 15218 22827 23254 23914 27331 27874 34881 35871 41811 45654 54662 69762 71742 81993 83622 83699 163986 164137 167398 191317 196747 251097 300641 328274 382634 393494 492411 502194 573951 590241 601282 901923 984822 1147902 1148959 1180482 1377229 1803846 1805507 2104487 2164217 2297918 2754458 3446877 3611014 4131687 4208974 4328434 5416521 6313461 6492651 6893754 8263374 10833042 12626922 12638549 12985302 15149519 25277098 29708797 30299038 37915647 45448557 59417594 75831294 89126391 90897114 178252782 207961579 326796767 415923158 623884737 653593534 980390301 1247769474 1960780602 2287577369 4575154738 6862732107 13725464214