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13626302420430 = 2325722721951941
BaseRepresentation
bin1100011001001001111011…
…1010100101010111001110
31210020122212102222222112100
43012102132322211113032
53241223131404423210
644551500435015530
72604316322342040
oct306223672452716
953218772888470
1013626302420430
114383978530037
121640a5113a5a6
1377ac549239bb
14351733603a90
151896b86e45c0
hexc649eea55ce

13626302420430 has 96 divisors (see below), whose sum is σ = 40491408904128. Its totient is φ = 3114443059200.

The previous prime is 13626302420411. The next prime is 13626302420449. The reversal of 13626302420430 is 3402420362631.

13626302420430 is a `hidden beast` number, since 1 + 3 + 626 + 3 + 0 + 2 + 4 + 20 + 4 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13626302420411) and next prime (13626302420449).

It is a super-2 number, since 2×136263024204302 (a number of 27 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 47 ways as a sum of consecutive naturals, for example, 13838260 + ... + 14790200.

It is an arithmetic number, because the mean of its divisors is an integer number (421785509418).

Almost surely, 213626302420430 is an apocalyptic number.

13626302420430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13626302420430 is an abundant number, since it is smaller than the sum of its proper divisors (26865106483698).

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

13626302420430 is a wasteful number, since it uses less digits than its factorization.

13626302420430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974682 (or 974679 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 13626302420430 in words is "thirteen trillion, six hundred twenty-six billion, three hundred two million, four hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 22721 45442 68163 113605 136326 159047 204489 227210 318094 340815 408978 477141 681630 795235 951941 954282 1022445 1431423 1590470 1903882 2044890 2385705 2855823 2862846 4759705 4771410 5711646 6663587 7157115 8567469 9519410 13327174 14279115 14314230 17134938 19990761 28558230 33317935 39981522 42837345 59972283 66635870 85674690 99953805 119944566 199907610 299861415 599722830 21629051461 43258102922 64887154383 108145257305 129774308766 151403360227 194661463149 216290514610 302806720454 324435771915 389322926298 454210080681 648871543830 757016801135 908420161362 973307315745 1362630242043 1514033602270 1946614631490 2271050403405 2725260484086 4542100806810 6813151210215 13626302420430