Search a number
-
+
11868974800 = 245285934543
BaseRepresentation
bin10110000110111001…
…00010111011010000
31010122011120101120021
423003130202323100
5143301424143200
65241425153224
7600060423034
oct130334427320
933564511507
1011868974800
1150407aa491
122372a8b814
131171c7a517
148084721c4
15496edd41a
hex2c3722ed0

11868974800 has 60 divisors (see below), whose sum is σ = 28549234240. Its totient is φ = 4741925760.

The previous prime is 11868974783. The next prime is 11868974839. The reversal of 11868974800 is 847986811.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 326329 + ... + 360871.

Almost surely, 211868974800 is an apocalyptic number.

11868974800 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 11868974800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14274617120).

11868974800 is an abundant number, since it is smaller than the sum of its proper divisors (16680259440).

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

11868974800 is a wasteful number, since it uses less digits than its factorization.

11868974800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35420 (or 35409 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 52.

The spelling of 11868974800 in words is "eleven billion, eight hundred sixty-eight million, nine hundred seventy-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 859 1718 3436 4295 6872 8590 13744 17180 21475 34360 34543 42950 68720 69086 85900 138172 171800 172715 276344 343600 345430 552688 690860 863575 1381720 1727150 2763440 3454300 6908600 13817200 29672437 59344874 118689748 148362185 237379496 296724370 474758992 593448740 741810925 1186897480 1483621850 2373794960 2967243700 5934487400 11868974800