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16914682440 = 2334517307093
BaseRepresentation
bin11111100000011000…
…11001001001001000
31121122210221220020000
433300030121021020
5234120124314230
611434232203000
71136106266655
oct176014311110
947583856200
1016914682440
11719a9962a7
123340839460
131797420846
14b66630c2c
1568ee72b60
hex3f0319248

16914682440 has 160 divisors (see below), whose sum is σ = 60196565880. Its totient is φ = 4245239808.

The previous prime is 16914682429. The next prime is 16914682459. The reversal of 16914682440 is 4428641961.

16914682440 is a `hidden beast` number, since 1 + 6 + 91 + 46 + 82 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11114641476 + 5800040964 = 105426^2 + 76158^2 .

It is a super-2 number, since 2×169146824402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98467 + ... + 208626.

Almost surely, 216914682440 is an apocalyptic number.

16914682440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16914682440 is an abundant number, since it is smaller than the sum of its proper divisors (43281883440).

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

16914682440 is a wasteful number, since it uses less digits than its factorization.

16914682440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307133 (or 307120 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 16914682440 in words is "sixteen billion, nine hundred fourteen million, six hundred eighty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 2040 2295 2754 3060 3240 3672 4590 5508 6120 6885 9180 11016 13770 18360 27540 55080 307093 614186 921279 1228372 1535465 1842558 2456744 2763837 3070930 3685116 4606395 5220581 5527674 6141860 7370232 8291511 9212790 10441162 11055348 12283720 13819185 15661743 16583022 18425580 20882324 22110696 24874533 26102905 27638370 31323486 33166044 36851160 41457555 41764648 46985229 49749066 52205810 55276740 62646972 66332088 78308715 82915110 93970458 99498132 104411620 110553480 124372665 125293944 140955687 156617430 165830220 187940916 198996264 208823240 234926145 248745330 281911374 313234860 331660440 375881832 422867061 469852290 497490660 563822748 626469720 704778435 845734122 939704580 994981320 1127645496 1409556870 1691468244 1879409160 2114335305 2819113740 3382936488 4228670610 5638227480 8457341220 16914682440