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4068421632 = 212321179127
BaseRepresentation
bin1111001001111111…
…0011000000000000
3101111112110020021200
43302133303000000
531313003443012
61511412221200
7202551004362
oct36237630000
911445406250
104068421632
1117a8577430
1295660a800
134cab599a2
142a8484d32
1518c28d3dc
hexf27f3000

4068421632 has 312 divisors, whose sum is σ = 13084631040. Its totient is φ = 1207664640.

The previous prime is 4068421573. The next prime is 4068421639. The reversal of 4068421632 is 2361248604.

4068421632 is a `hidden beast` number, since 406 + 8 + 4 + 216 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4068421639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32034753 + ... + 32034879.

It is an arithmetic number, because the mean of its divisors is an integer number (41937920).

Almost surely, 24068421632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4068421632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6542315520).

4068421632 is an abundant number, since it is smaller than the sum of its proper divisors (9016209408).

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

4068421632 is a wasteful number, since it uses less digits than its factorization.

4068421632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4068421632 is about 63784.1801076098. The cubic root of 4068421632 is about 1596.4009771332.

The spelling of 4068421632 in words is "four billion, sixty-eight million, four hundred twenty-one thousand, six hundred thirty-two".