Search a number
-
+
29345108616 = 2332407570953
BaseRepresentation
bin11011010101000110…
…101101001010001000
32210202002222222021200
4123111012231022020
5440044321433431
621251515304200
72056125210345
oct332506551210
983662888250
1029345108616
111149960448a
12582b74b060
1329c87ba8c5
1415c54937cc
15b6b3b6ee6
hex6d51ad288

29345108616 has 24 divisors (see below), whose sum is σ = 79476336030. Its totient is φ = 9781702848.

The previous prime is 29345108537. The next prime is 29345108623. The reversal of 29345108616 is 61680154392.

29345108616 is a `hidden beast` number, since 29 + 3 + 4 + 5 + 1 + 0 + 8 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25100064900 + 4245043716 = 158430^2 + 65154^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×293451086162 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 203785405 + ... + 203785548.

Almost surely, 229345108616 is an apocalyptic number.

It is an amenable number.

29345108616 is an abundant number, since it is smaller than the sum of its proper divisors (50131227414).

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

29345108616 is a wasteful number, since it uses less digits than its factorization.

29345108616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407570965 (or 407570958 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 29345108616 in words is "twenty-nine billion, three hundred forty-five million, one hundred eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 407570953 815141906 1222712859 1630283812 2445425718 3260567624 3668138577 4890851436 7336277154 9781702872 14672554308 29345108616