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4612990032 = 2432723241211
BaseRepresentation
bin1000100101111010…
…01010010001010000
3102220111011011200200
410102331022101100
533421411140112
62041424215200
7222212524350
oct42275122120
912814134620
104612990032
111a57a04762
12a88a6a500
13586917b01
1431a91cb60
151beeabcdc
hex112f4a450

4612990032 has 360 divisors, whose sum is σ = 15874692288. Its totient is φ = 1224115200.

The previous prime is 4612990013. The next prime is 4612990037. The reversal of 4612990032 is 2300992164.

4612990032 is a `hidden beast` number, since 4 + 612 + 9 + 9 + 0 + 0 + 32 = 666.

It is a super-2 number, since 2×46129900322 = 42559354070662722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4612990037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21862407 + ... + 21862617.

Almost surely, 24612990032 is an apocalyptic number.

4612990032 is a gapful number since it is divisible by the number (42) 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 4612990032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7937346144).

4612990032 is an abundant number, since it is smaller than the sum of its proper divisors (11261702256).

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

4612990032 is a wasteful number, since it uses less digits than its factorization.

4612990032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 4612990032 is about 67918.9961056552. The cubic root of 4612990032 is about 1664.6675179525.

It can be divided in two parts, 46129 and 90032, that added together give a square (136161 = 3692).

The spelling of 4612990032 in words is "four billion, six hundred twelve million, nine hundred ninety thousand, thirty-two".