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14657081712 = 24371318118539
BaseRepresentation
bin11011010011010000…
…10101000101110000
31101211110212220020020
431221220111011300
5220004203103322
610422224043440
71026134065440
oct155150250560
941743786206
1014657081712
1162415a4479
122a10763580
1314c77a2320
149d087c120
155abb7905c
hex369a15170

14657081712 has 160 divisors (see below), whose sum is σ = 46862000640. Its totient is φ = 3844039680.

The previous prime is 14657081689. The next prime is 14657081717. The reversal of 14657081712 is 21718075641.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14657081717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781339 + ... + 799877.

It is an arithmetic number, because the mean of its divisors is an integer number (292887504).

Almost surely, 214657081712 is an apocalyptic number.

14657081712 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 14657081712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23431000320).

14657081712 is an abundant number, since it is smaller than the sum of its proper divisors (32204918928).

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

14657081712 is a wasteful number, since it uses less digits than its factorization.

14657081712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18751 (or 18745 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 14657081712 in words is "fourteen billion, six hundred fifty-seven million, eighty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 181 182 208 273 312 336 362 364 543 546 624 724 728 1086 1092 1267 1448 1456 2172 2184 2353 2534 2896 3801 4344 4368 4706 5068 7059 7602 8688 9412 10136 14118 15204 16471 18539 18824 20272 28236 30408 32942 37078 37648 49413 55617 56472 60816 65884 74156 98826 111234 112944 129773 131768 148312 197652 222468 241007 259546 263536 296624 389319 395304 444936 482014 519092 723021 778638 790608 889872 964028 1038184 1446042 1557276 1687049 1928056 2076368 2892084 3114552 3355559 3374098 3856112 5061147 5784168 6229104 6711118 6748196 10066677 10122294 11568336 13422236 13496392 20133354 20244588 23488913 26844472 26992784 40266708 40489176 43622267 46977826 53688944 70466739 80533416 80978352 87244534 93955652 130866801 140933478 161066832 174489068 187911304 261733602 281866956 305355869 348978136 375822608 523467204 563733912 610711738 697956272 916067607 1046934408 1127467824 1221423476 1832135214 2093868816 2442846952 3664270428 4885693904 7328540856 14657081712