Search a number
-
+
1051748216928 = 25341961714931
BaseRepresentation
bin11110100111000010001…
…01000011000001100000
310201112202010211012220000
433103201011003001200
5114212440020420203
62123055542220000
7135662205224103
oct17234105030140
93645663735800
101051748216928
113760534a4222
1214ba04424600
1378244297746
1438c9501073a
151c5598364a3
hexf4e1143060

1051748216928 has 480 divisors, whose sum is σ = 3356627662080. Its totient is φ = 322019712000.

The previous prime is 1051748216837. The next prime is 1051748216963. The reversal of 1051748216928 is 8296128471501.

1051748216928 is a `hidden beast` number, since 1 + 0 + 517 + 48 + 2 + 1 + 69 + 28 = 666.

It is a super-2 number, since 2×10517482169282 (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 79 ways as a sum of consecutive naturals, for example, 213290623 + ... + 213295553.

It is an arithmetic number, because the mean of its divisors is an integer number (6992974296).

Almost surely, 21051748216928 is an apocalyptic number.

1051748216928 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 1051748216928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678313831040).

1051748216928 is an abundant number, since it is smaller than the sum of its proper divisors (2304879445152).

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

1051748216928 is a wasteful number, since it uses less digits than its factorization.

1051748216928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 1051748216928 in words is "one trillion, fifty-one billion, seven hundred forty-eight million, two hundred sixteen thousand, nine hundred twenty-eight".