Search a number
-
+
1063214880840 = 233557371632591
BaseRepresentation
bin11110111100011001000…
…10111001100001001000
310202122100021101002200000
433132030202321201020
5114404431002141330
62132233440443000
7136546312242120
oct17361442714110
93678307332600
101063214880840
1137a9a809a572
12152084619460
1379350aa4888
1439661c79c80
151c9cb356560
hexf78c8b9848

1063214880840 has 768 divisors, whose sum is σ = 4233468395520. Its totient is φ = 234911093760.

The previous prime is 1063214880817. The next prime is 1063214880901. The reversal of 1063214880840 is 480884123601.

1063214880840 is a `hidden beast` number, since 1 + 0 + 632 + 1 + 4 + 8 + 8 + 0 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×10632148808402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 410347945 + ... + 410350535.

It is an arithmetic number, because the mean of its divisors is an integer number (5512328640).

Almost surely, 21063214880840 is an apocalyptic number.

1063214880840 is a gapful number since it is divisible by the number (10) 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 1063214880840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116734197760).

1063214880840 is an abundant number, since it is smaller than the sum of its proper divisors (3170253514680).

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

1063214880840 is a wasteful number, since it uses less digits than its factorization.

1063214880840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1063214880840 in words is "one trillion, sixty-three billion, two hundred fourteen million, eight hundred eighty thousand, eight hundred forty".