Search a number
-
+
116142983820 = 22325645238799
BaseRepresentation
bin110110000101010101…
…0010100101010001100
3102002210012111212222100
41230022222110222030
53400330100440240
6125204431115100
711251063034163
oct1541252245214
9362705455870
10116142983820
114528a760846
121a614072a90
13ac4c0a9186
14589adb23da
15304b575e30
hex1b0aa94a8c

116142983820 has 36 divisors (see below), whose sum is σ = 352300384800. Its totient is φ = 30971462304.

The previous prime is 116142983797. The next prime is 116142983821. The reversal of 116142983820 is 28389241611.

116142983820 is a `hidden beast` number, since 1 + 1 + 614 + 2 + 9 + 8 + 3 + 8 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1161429838202 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (116142983821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322619220 + ... + 322619579.

It is an arithmetic number, because the mean of its divisors is an integer number (9786121800).

Almost surely, 2116142983820 is an apocalyptic number.

116142983820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116142983820 is an abundant number, since it is smaller than the sum of its proper divisors (236157400980).

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

116142983820 is a wasteful number, since it uses less digits than its factorization.

116142983820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645238814 (or 645238809 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 116142983820 in words is "one hundred sixteen billion, one hundred forty-two million, nine hundred eighty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 645238799 1290477598 1935716397 2580955196 3226193995 3871432794 5807149191 6452387990 7742865588 9678581985 11614298382 12904775980 19357163970 23228596764 29035745955 38714327940 58071491910 116142983820