Search a number
-
+
114669894168 = 233225134918181
BaseRepresentation
bin110101011001011011…
…0111011101000011000
3101221222112122011212100
41222302312323220120
53334320443103133
6124402325443400
711166425006154
oct1526266735030
9357875564770
10114669894168
11446a4190785
121a282870560
13aa75b497ab
14579b4b6064
152eb2094e13
hex1ab2dbba18

114669894168 has 96 divisors (see below), whose sum is σ = 312712218000. Its totient is φ = 37959840000.

The previous prime is 114669894161. The next prime is 114669894169. The reversal of 114669894168 is 861498966411.

114669894168 is a `hidden beast` number, since 1 + 1 + 466 + 9 + 8 + 9 + 4 + 168 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114669894161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6298038 + ... + 6316218.

Almost surely, 2114669894168 is an apocalyptic number.

114669894168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114669894168 is an abundant number, since it is smaller than the sum of its proper divisors (198042323832).

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

114669894168 is a wasteful number, since it uses less digits than its factorization.

114669894168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18793 (or 18786 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 114669894168 in words is "one hundred fourteen billion, six hundred sixty-nine million, eight hundred ninety-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 251 349 502 698 753 1004 1047 1396 1506 2008 2094 2259 2792 3012 3141 4188 4518 6024 6282 8376 9036 12564 18072 18181 25128 36362 54543 72724 87599 109086 145448 163629 175198 218172 262797 327258 350396 436344 525594 654516 700792 788391 1051188 1309032 1576782 2102376 3153564 4563431 6307128 6345169 9126862 12690338 13690293 18253724 19035507 25380676 27380586 36507448 38071014 41070879 50761352 54761172 57106521 76142028 82141758 109522344 114213042 152284056 164283516 228426084 328567032 456852168 1592637419 3185274838 4777912257 6370549676 9555824514 12741099352 14333736771 19111649028 28667473542 38223298056 57334947084 114669894168