Search a number
-
+
116210211840 = 2103356113781
BaseRepresentation
bin110110000111010101…
…0110001110000000000
3102002221220000102111000
41230032222301300000
53400444303234330
6125215232052000
711252540334222
oct1541652616000
9362856012430
10116210211840
11453146a9198
121a632694000
13ac5ccb7078
1458a5cb2412
153052405560
hex1b0eab1c00

116210211840 has 352 divisors, whose sum is σ = 419790899520. Its totient is φ = 30479155200.

The previous prime is 116210211773. The next prime is 116210211877. The reversal of 116210211840 is 48112012611.

It is a happy number.

116210211840 is a `hidden beast` number, since 1 + 1 + 621 + 0 + 21 + 18 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8425750 + ... + 8439530.

Almost surely, 2116210211840 is an apocalyptic number.

116210211840 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 116210211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209895449760).

116210211840 is an abundant number, since it is smaller than the sum of its proper divisors (303580687680).

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

116210211840 is a wasteful number, since it uses less digits than its factorization.

116210211840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13876 (or 13852 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 116210211840 in words is "one hundred sixteen billion, two hundred ten million, two hundred eleven thousand, eight hundred forty".