Search a number
-
+
35434774116 = 22327140614183
BaseRepresentation
bin100001000000000100…
…111011111001100100
310101110111210000220100
4201000010323321210
51040032300232431
624140054104100
72363051416230
oct410004737144
9111414700810
1035434774116
1114034008295
126a4b04b030
13345931c281
141a021635c0
15dc5d124e6
hex84013be64

35434774116 has 36 divisors (see below), whose sum is σ = 102367125952. Its totient is φ = 10124221104.

The previous prime is 35434774057. The next prime is 35434774153. The reversal of 35434774116 is 61147743453.

35434774116 is a `hidden beast` number, since 35 + 434 + 7 + 74 + 116 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70306840 + ... + 70307343.

Almost surely, 235434774116 is an apocalyptic number.

35434774116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

35434774116 is an abundant number, since it is smaller than the sum of its proper divisors (66932351836).

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

35434774116 is a wasteful number, since it uses less digits than its factorization.

35434774116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140614200 (or 140614195 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 35434774116 in words is "thirty-five billion, four hundred thirty-four million, seven hundred seventy-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 140614183 281228366 421842549 562456732 843685098 984299281 1265527647 1687370196 1968598562 2531055294 2952897843 3937197124 5062110588 5905795686 8858693529 11811591372 17717387058 35434774116