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13813346430 = 23251317694487
BaseRepresentation
bin11001101110101011…
…01111000001111110
31022122200020201000100
430313111233001332
5211242204041210
610202403541530
7666210336012
oct146725570176
938580221010
1013813346430
115949301694
12281608a8a6
1313c1a48690
149507aa542
1555ca635c0
hex33756f07e

13813346430 has 96 divisors (see below), whose sum is σ = 40952568384. Its totient is φ = 3200191488.

The previous prime is 13813346423. The next prime is 13813346471. The reversal of 13813346430 is 3464331831.

13813346430 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 3 + 3 + 4 + 643 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327354 + ... + 367133.

It is an arithmetic number, because the mean of its divisors is an integer number (426589254).

Almost surely, 213813346430 is an apocalyptic number.

13813346430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13813346430 is an abundant number, since it is smaller than the sum of its proper divisors (27139221954).

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

13813346430 is a wasteful number, since it uses less digits than its factorization.

13813346430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694530 (or 694527 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 13813346430 in words is "thirteen billion, eight hundred thirteen million, three hundred forty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 3315 3978 6630 9945 19890 694487 1388974 2083461 3472435 4166922 6250383 6944870 9028331 10417305 11806279 12500766 18056662 20834610 23612558 27084993 31251915 35418837 45141655 54169986 59031395 62503830 70837674 81254979 90283310 106256511 118062790 135424965 153481627 162509958 177094185 212513022 270849930 306963254 354188370 406274895 460444881 531282555 767408135 812549790 920889762 1062565110 1381334643 1534816270 2302224405 2762669286 4604448810 6906673215 13813346430