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4074645132 = 22322342111689
BaseRepresentation
bin1111001011011110…
…0010011010001100
3101111222011102022200
43302313202122030
531321102121012
61512153441500
7202654624605
oct36267423214
911458142280
104074645132
111801038218
12958710290
134cc22862c
142a9224dac
1518cabc3dc
hexf2de268c

4074645132 has 72 divisors (see below), whose sum is σ = 10774065120. Its totient is φ = 1295965440.

The previous prime is 4074645131. The next prime is 4074645137. The reversal of 4074645132 is 2315464704.

4074645132 is a `hidden beast` number, since 4 + 0 + 7 + 4 + 645 + 1 + 3 + 2 = 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 (4074645131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342744 + ... + 354432.

Almost surely, 24074645132 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 4074645132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387032560).

4074645132 is an abundant number, since it is smaller than the sum of its proper divisors (6699419988).

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

4074645132 is a wasteful number, since it uses less digits than its factorization.

4074645132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12143 (or 12138 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4074645132 is about 63832.9470728087. The cubic root of 4074645132 is about 1597.2145719121.

The spelling of 4074645132 in words is "four billion, seventy-four million, six hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 421 828 842 1263 1684 2526 3789 5052 7578 9683 11689 15156 19366 23378 29049 35067 38732 46756 58098 70134 87147 105201 116196 140268 174294 210402 268847 348588 420804 537694 806541 1075388 1613082 2419623 3226164 4839246 4921069 9678492 9842138 14763207 19684276 29526414 44289621 59052828 88579242 113184587 177158484 226369174 339553761 452738348 679107522 1018661283 1358215044 2037322566 4074645132