Search a number
-
+
4591646748612 = 223271119312831093
BaseRepresentation
bin100001011010001001101…
…1110010010111111000100
3121020221211202102121201100
41002310103132102333010
51100212143031423422
613433212353100100
7652510200252420
oct102642336227704
917227752377640
104591646748612
111510340981820
12621a85257630
13273cb4c8ba31
1411c346043b80
157e68c8007ac
hex42d13792fc4

4591646748612 has 864 divisors, whose sum is σ = 15943676636160. Its totient is φ = 1079255923200.

The previous prime is 4591646748583. The next prime is 4591646748613. The reversal of 4591646748612 is 2168476461954.

4591646748612 is a `hidden beast` number, since 4 + 5 + 9 + 1 + 6 + 4 + 6 + 7 + 4 + 8 + 612 = 666.

It is a super-2 number, since 2×45916467486122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 4591646748612.

It is not an unprimeable number, because it can be changed into a prime (4591646748613) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4200957138 + ... + 4200958230.

It is an arithmetic number, because the mean of its divisors is an integer number (18453329440).

Almost surely, 24591646748612 is an apocalyptic number.

4591646748612 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 4591646748612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7971838318080).

4591646748612 is an abundant number, since it is smaller than the sum of its proper divisors (11352029887548).

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

4591646748612 is a wasteful number, since it uses less digits than its factorization.

4591646748612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1249 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 4591646748612 in words is "four trillion, five hundred ninety-one billion, six hundred forty-six million, seven hundred forty-eight thousand, six hundred twelve".