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13961866212 = 22337162711351
BaseRepresentation
bin11010000000011000…
…10010101111100100
31100001000201021212000
431000030102233210
5212043214204322
610225231125300
71002662622210
oct150014225744
940030637760
1013961866212
115a15122808
122857973830
1314167498c8
149663cb940
1556aaee3ac
hex340312be4

13961866212 has 96 divisors (see below), whose sum is σ = 41397565440. Its totient is φ = 3986301600.

The previous prime is 13961866207. The next prime is 13961866229. The reversal of 13961866212 is 21266816931.

13961866212 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 18 + 6 + 621 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1224337 + ... + 1235687.

It is an arithmetic number, because the mean of its divisors is an integer number (431224640).

Almost surely, 213961866212 is an apocalyptic number.

13961866212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13961866212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20698782720).

13961866212 is an abundant number, since it is smaller than the sum of its proper divisors (27435699228).

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

13961866212 is a wasteful number, since it uses less digits than its factorization.

13961866212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12998 (or 12990 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 13961866212 in words is "thirteen billion, nine hundred sixty-one million, eight hundred sixty-six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1627 3254 4881 6508 9762 11351 11389 14643 19524 22702 22778 29286 34053 34167 43929 45404 45556 58572 68106 68334 79457 87858 102159 102501 136212 136668 158914 175716 204318 205002 238371 306477 307503 317828 408636 410004 476742 612954 615006 715113 953484 1225908 1230012 1430226 2145339 2860452 4290678 8581356 18468077 36936154 55404231 73872308 110808462 129276539 166212693 221616924 258553078 332425386 387829617 498638079 517106156 664850772 775659234 997276158 1163488851 1551318468 1994552316 2326977702 3490466553 4653955404 6980933106 13961866212