Search a number
-
+
11263896955008 = 273317593249481
BaseRepresentation
bin1010001111101001010010…
…0100111010100010000000
31110212211002100022222212000
42203322110210322202000
52434021430110030013
635542321323104000
72241534603245025
oct243722444724200
943784070288760
1011263896955008
113652aa0200145
12131b028372000
13639247653339
142ad2658b954c
15147eee54e973
hexa3e9493a880

11263896955008 has 256 divisors, whose sum is σ = 35796293712000. Its totient is φ = 3473876090880.

The previous prime is 11263896955007. The next prime is 11263896955033. The reversal of 11263896955008 is 80055969836211.

11263896955008 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 38 + 9 + 6 + 95 + 500 + 8 = 666.

It is a super-3 number, since 3×112638969550083 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11263896955007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1841628 + ... + 5091108.

Almost surely, 211263896955008 is an apocalyptic number.

11263896955008 is a gapful number since it is divisible by the number (18) 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 11263896955008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17898146856000).

11263896955008 is an abundant number, since it is smaller than the sum of its proper divisors (24532396756992).

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

11263896955008 is a wasteful number, since it uses less digits than its factorization.

11263896955008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249580 (or 3249562 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 11263896955008 in words is "eleven trillion, two hundred sixty-three billion, eight hundred ninety-six million, nine hundred fifty-five thousand, eight".