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4050655164 = 2232793174493
BaseRepresentation
bin1111000101110000…
…0001011110111100
3101110022000121021100
43301130001132330
531243431431124
61505535333100
7202244000163
oct36134013674
911408017240
104050655164
1117995421a6
12950681190
134c727909a
142a5d7c3da
1518a92e1c9
hexf17017bc

4050655164 has 72 divisors (see below), whose sum is σ = 10403789760. Its totient is φ = 1328625792.

The previous prime is 4050655153. The next prime is 4050655211. The reversal of 4050655164 is 4615560504.

4050655164 is a `hidden beast` number, since 40 + 5 + 0 + 6 + 551 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 899302 + ... + 903794.

It is an arithmetic number, because the mean of its divisors is an integer number (144497080).

Almost surely, 24050655164 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 4050655164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201894880).

4050655164 is an abundant number, since it is smaller than the sum of its proper divisors (6353134596).

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

4050655164 is a wasteful number, since it uses less digits than its factorization.

4050655164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 4050655164 is about 63644.7575531559. The cubic root of 4050655164 is about 1594.0738016875.

The spelling of 4050655164 in words is "four billion, fifty million, six hundred fifty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 317 474 634 711 948 951 1268 1422 1902 2844 2853 3804 4493 5706 8986 11412 13479 17972 25043 26958 40437 50086 53916 75129 80874 100172 150258 161748 225387 300516 354947 450774 709894 901548 1064841 1419788 1424281 2129682 2848562 3194523 4259364 4272843 5697124 6389046 8545686 12778092 12818529 17091372 25637058 51274116 112518199 225036398 337554597 450072796 675109194 1012663791 1350218388 2025327582 4050655164