Search a number
-
+
13335333266640 = 243571122910122397
BaseRepresentation
bin1100001000001101111111…
…0011010110010011010000
31202012211211022012110211210
43002003133303112103100
53221441230304013030
644210100104140120
72544305663342160
oct302033763262320
952184738173753
1013335333266640
114281534a83200
1215b4588167640
13759693a85598
1434160da265a0
15181d38ca6bb0
hexc20dfcd64d0

13335333266640 has 960 divisors, whose sum is σ = 54255682414080. Its totient is φ = 2648819712000.

The previous prime is 13335333266639. The next prime is 13335333266677. The reversal of 13335333266640 is 4666233353331.

It is a happy number.

It is a super-2 number, since 2×133353332666402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13335333266640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 595395922 + ... + 595418318.

It is an arithmetic number, because the mean of its divisors is an integer number (56516335848).

Almost surely, 213335333266640 is an apocalyptic number.

13335333266640 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 13335333266640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27127841207040).

13335333266640 is an abundant number, since it is smaller than the sum of its proper divisors (40920349147440).

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

13335333266640 is a wasteful number, since it uses less digits than its factorization.

13335333266640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22572 (or 22555 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 48.

The spelling of 13335333266640 in words is "thirteen trillion, three hundred thirty-five billion, three hundred thirty-three million, two hundred sixty-six thousand, six hundred forty".