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114074767764 = 223247913035077
BaseRepresentation
bin110101000111101100…
…0101101000110010100
3101220110001210121220200
41222033120231012110
53332111120032024
6124223310100500
711145610345566
oct1521730550624
9356401717820
10114074767764
1144419261481
121a1374aa730
13a9ac7692a9
14574243b336
152e79bdb2c9
hex1a8f62d194

114074767764 has 72 divisors (see below), whose sum is σ = 289236380160. Its totient is φ = 37908948672.

The previous prime is 114074767757. The next prime is 114074767783. The reversal of 114074767764 is 467767470411.

114074767764 is a `hidden beast` number, since 1 + 1 + 40 + 7 + 476 + 77 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114074767764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22466394 + ... + 22471470.

Almost surely, 2114074767764 is an apocalyptic number.

It is an amenable number.

114074767764 is an abundant number, since it is smaller than the sum of its proper divisors (175161612396).

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

114074767764 is a wasteful number, since it uses less digits than its factorization.

114074767764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6869 (or 6864 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 114074767764 in words is "one hundred fourteen billion, seventy-four million, seven hundred sixty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 479 958 1303 1437 1916 2606 2874 3909 4311 5077 5212 5748 7818 8622 10154 11727 15231 15636 17244 20308 23454 30462 45693 46908 60924 91386 182772 624137 1248274 1872411 2431883 2496548 3744822 4863766 5617233 6615331 7295649 7489644 9727532 11234466 13230662 14591298 19845993 21886947 22468932 26461324 29182596 39691986 43773894 59537979 79383972 87547788 119075958 238151916 3168743549 6337487098 9506230647 12674974196 19012461294 28518691941 38024922588 57037383882 114074767764