Search a number
-
+
1053737948505 = 351153120496049
BaseRepresentation
bin11110101010101111010…
…11010001010101011001
310201201212210212001111010
433111113223101111121
5114231023403323010
62124025221124133
7136062415530564
oct17252753212531
93651783761433
101053737948505
11376984667a90
1215027a859649
13784a0587cc8
14390033954db
151c62436b620
hexf557ad1559

1053737948505 has 32 divisors (see below), whose sum is σ = 1873954569600. Its totient is φ = 501263559680.

The previous prime is 1053737948491. The next prime is 1053737948579. The reversal of 1053737948505 is 5058497373501.

It is not a de Polignac number, because 1053737948505 - 27 = 1053737948377 is a prime.

It is a super-2 number, since 2×10537379485052 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60239280 + ... + 60256769.

It is an arithmetic number, because the mean of its divisors is an integer number (58561080300).

Almost surely, 21053737948505 is an apocalyptic number.

1053737948505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1053737948505 is a deficient number, since it is larger than the sum of its proper divisors (820216621095).

1053737948505 is a wasteful number, since it uses less digits than its factorization.

1053737948505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120496121.

The product of its (nonzero) digits is 15876000, while the sum is 57.

The spelling of 1053737948505 in words is "one trillion, fifty-three billion, seven hundred thirty-seven million, nine hundred forty-eight thousand, five hundred five".

Divisors: 1 3 5 11 15 33 53 55 159 165 265 583 795 1749 2915 8745 120496049 361488147 602480245 1325456539 1807440735 3976369617 6386290597 6627282695 19158871791 19881848085 31931452985 70249196567 95794358955 210747589701 351245982835 1053737948505