Search a number
-
+
122916718364 = 221128116376073
BaseRepresentation
bin111001001111001101…
…0000100011100011100
3102202021021111020220112
41302132122010130130
54003213134441424
6132244523505152
711610663603326
oct1623632043434
9382237436815
10122916718364
1148146312870
121b9a46881b8
13b78b55c91b
145d40870616
1532e609860e
hex1c9e68471c

122916718364 has 48 divisors (see below), whose sum is σ = 235676933856. Its totient is φ = 55629235200.

The previous prime is 122916718363. The next prime is 122916718367. The reversal of 122916718364 is 463817619221.

It is a happy number.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122916718363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20236832 + ... + 20242904.

It is an arithmetic number, because the mean of its divisors is an integer number (4909936122).

Almost surely, 2122916718364 is an apocalyptic number.

It is an amenable number.

122916718364 is a deficient number, since it is larger than the sum of its proper divisors (112760215492).

122916718364 is a wasteful number, since it uses less digits than its factorization.

122916718364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8006 (or 8004 counting only the distinct ones).

The product of its digits is 870912, while the sum is 50.

The spelling of 122916718364 in words is "one hundred twenty-two billion, nine hundred sixteen million, seven hundred eighteen thousand, three hundred sixty-four".

Divisors: 1 2 4 11 22 44 281 562 1124 1637 3091 3274 6073 6182 6548 12146 12364 18007 24292 36014 66803 72028 133606 267212 459997 919994 1706513 1839988 3413026 5059967 6826052 9941501 10119934 18771643 19883002 20239868 37543286 39766004 75086572 109356511 218713022 437426044 2793561781 5587123562 11174247124 30729179591 61458359182 122916718364