Search a number
-
+
14917945392 = 2433730716069
BaseRepresentation
bin11011110010010110…
…11100100000110000
31102111122202010221000
431321023130200300
5221022443223032
610504143202000
71035452305110
oct157113344060
942448663830
1014917945392
116365878199
122a83ba6300
13153984972c
14a17385040
155c4a06e7c
hex3792dc830

14917945392 has 160 divisors (see below), whose sum is σ = 49099635200. Its totient is φ = 4248122112.

The previous prime is 14917945391. The next prime is 14917945423. The reversal of 14917945392 is 29354971941.

14917945392 is a `hidden beast` number, since 1 + 4 + 9 + 17 + 94 + 539 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14917945391) 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, 920334 + ... + 936402.

It is an arithmetic number, because the mean of its divisors is an integer number (306872720).

Almost surely, 214917945392 is an apocalyptic number.

14917945392 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 14917945392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24549817600).

14917945392 is an abundant number, since it is smaller than the sum of its proper divisors (34181689808).

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

14917945392 is a wasteful number, since it uses less digits than its factorization.

14917945392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16400 (or 16388 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 14917945392 in words is "fourteen billion, nine hundred seventeen million, nine hundred forty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 307 336 378 432 504 614 756 921 1008 1228 1512 1842 2149 2456 2763 3024 3684 4298 4912 5526 6447 7368 8289 8596 11052 12894 14736 16069 16578 17192 19341 22104 25788 32138 33156 34384 38682 44208 48207 51576 58023 64276 66312 77364 96414 103152 112483 116046 128552 132624 144621 154728 192828 224966 232092 257104 289242 309456 337449 385656 433863 449932 464184 578484 674898 771312 867726 899864 928368 1012347 1156968 1349796 1735452 1799728 2024694 2313936 2699592 3037041 3470904 4049388 4933183 5399184 6074082 6941808 8098776 9866366 12148164 14799549 16197552 19732732 24296328 29599098 34532281 39465464 44398647 48592656 59198196 69064562 78930928 88797294 103596843 118396392 133195941 138129124 177594588 207193686 236792784 266391882 276258248 310790529 355189176 414387372 532783764 552516496 621581058 710378352 828774744 932371587 1065567528 1243162116 1657549488 1864743174 2131135056 2486324232 3729486348 4972648464 7458972696 14917945392