Search a number
-
+
1136818851840 = 212355732633
BaseRepresentation
bin10000100010101111101…
…011110001000000000000
311000200022212020020100000
4100202233223301000000
5122111201111224330
62230125233200000
7145063300542630
oct20425753610000
94020285206300
101136818851840
113a9138672371
121643a6400000
1383280a8c939
143d0453966c0
151e888060560
hex108afaf1000

1136818851840 has 624 divisors, whose sum is σ = 4670354602368. Its totient is φ = 259836346368.

The previous prime is 1136818851787. The next prime is 1136818851851. The reversal of 1136818851840 is 481588186311.

1136818851840 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 8 + 1 + 88 + 518 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34820164 + ... + 34852796.

It is an arithmetic number, because the mean of its divisors is an integer number (7484542632).

Almost surely, 21136818851840 is an apocalyptic number.

1136818851840 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 1136818851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335177301184).

1136818851840 is an abundant number, since it is smaller than the sum of its proper divisors (3533535750528).

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

1136818851840 is an frugal number, since it uses more digits than its factorization.

1136818851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32684 (or 32650 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 1136818851840 in words is "one trillion, one hundred thirty-six billion, eight hundred eighteen million, eight hundred fifty-one thousand, eight hundred forty".