Search a number
-
+
2934602043984 = 24341333133247
BaseRepresentation
bin101010101101000011111…
…010011001001001010000
3101101112201110110220010000
4222231003322121021100
5341040031110401414
610124045414210000
7422006113542222
oct52550372311120
911345643426100
102934602043984
11a31615392446
123b48b4353900
1318396896a000
14a206d590412
155150817bb09
hex2ab43e99250

2934602043984 has 400 divisors, whose sum is σ = 9498160967680. Its totient is φ = 873800628480.

The previous prime is 2934602043917. The next prime is 2934602044027. The reversal of 2934602043984 is 4893402064392.

2934602043984 is a `hidden beast` number, since 2 + 9 + 3 + 46 + 0 + 204 + 398 + 4 = 666.

It is a super-2 number, since 2×29346020439842 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2934602043984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88250049 + ... + 88283295.

Almost surely, 22934602043984 is an apocalyptic number.

2934602043984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2934602043984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749080483840).

2934602043984 is an abundant number, since it is smaller than the sum of its proper divisors (6563558923696).

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

2934602043984 is a wasteful number, since it uses less digits than its factorization.

2934602043984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33337 (or 33296 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 2934602043984 in words is "two trillion, nine hundred thirty-four billion, six hundred two million, forty-three thousand, nine hundred eighty-four".