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13308761663712 = 253428118272431
BaseRepresentation
bin1100000110101011000000…
…0000101110100011100000
31202010022020111001012010000
43001222300000232203200
53221022320441214322
644145543302340000
72542345343422104
oct301526000564340
952108214035100
1013308761663712
11427123a000689
1215ab3b142a600
1375701aa79808
1434020ca5b904
151812d11443ac
hexc1ab002e8e0

13308761663712 has 120 divisors (see below), whose sum is σ = 39279991256352. Its totient is φ = 4420466265600.

The previous prime is 13308761663699. The next prime is 13308761663759. The reversal of 13308761663712 is 21736616780331.

13308761663712 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 8 + 7 + 616 + 6 + 3 + 7 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8407864 + ... + 9864567.

Almost surely, 213308761663712 is an apocalyptic number.

13308761663712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13308761663712 is an abundant number, since it is smaller than the sum of its proper divisors (25971229592640).

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

13308761663712 is a wasteful number, since it uses less digits than its factorization.

13308761663712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18272734 (or 18272717 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 13308761663712 in words is "thirteen trillion, three hundred eight billion, seven hundred sixty-one million, six hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 281 288 324 432 562 648 843 864 1124 1296 1686 2248 2529 2592 3372 4496 5058 6744 7587 8992 10116 13488 15174 20232 22761 26976 30348 40464 45522 60696 80928 91044 121392 182088 242784 364176 728352 18272431 36544862 54817293 73089724 109634586 146179448 164451879 219269172 292358896 328903758 438538344 493355637 584717792 657807516 877076688 986711274 1315615032 1480066911 1754153376 1973422548 2631230064 2960133822 3946845096 5134553111 5262460128 5920267644 7893690192 10269106222 11840535288 15403659333 15787380384 20538212444 23681070576 30807318666 41076424888 46210977999 47362141152 61614637332 82152849776 92421955998 123229274664 138632933997 164305699552 184843911996 246458549328 277265867994 369687823992 415898801991 492917098656 554531735988 739375647984 831797603982 1109063471976 1478751295968 1663595207964 2218126943952 3327190415928 4436253887904 6654380831856 13308761663712