Search a number
-
+
1051883363808 = 25342345738609
BaseRepresentation
bin11110100111010010010…
…00100101110111100000
310201120002120010101120000
433103221020211313200
5114213224120120213
62123121211020000
7135665436032244
oct17235110456740
93646076111500
101051883363808
11376112811062
1214ba4173a600
1378266295b04
1438ca8d50424
151c56662ec73
hexf4e9225de0

1051883363808 has 240 divisors, whose sum is σ = 3235209737760. Its totient is φ = 334640553984.

The previous prime is 1051883363761. The next prime is 1051883363827. The reversal of 1051883363808 is 8083633881501.

1051883363808 is a `hidden beast` number, since 10 + 518 + 8 + 3 + 36 + 3 + 80 + 8 = 666.

1051883363808 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10518833638082 (a number of 25 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 27225208 + ... + 27263816.

It is an arithmetic number, because the mean of its divisors is an integer number (13480040574).

Almost surely, 21051883363808 is an apocalyptic number.

1051883363808 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 1051883363808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617604868880).

1051883363808 is an abundant number, since it is smaller than the sum of its proper divisors (2183326373952).

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

1051883363808 is a wasteful number, since it uses less digits than its factorization.

1051883363808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39111 (or 39094 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1051883363808 in words is "one trillion, fifty-one billion, eight hundred eighty-three million, three hundred sixty-three thousand, eight hundred eight".