Search a number
-
+
17944033895425 = 52111573203129757
BaseRepresentation
bin1000001010001111010111…
…10001000010010000000001
32100112102200120111222011201
410011013223301002100001
54322443340134123200
6102055213025141201
73531261613334101
oct405075361022001
970472616458151
1017944033895425
115799027374570
12201981078a801
13a02165c50c71
144606d2973201
15211b73873c6a
hex1051ebc42401

17944033895425 has 48 divisors (see below), whose sum is σ = 24435806490432. Its totient is φ = 12962935814400.

The previous prime is 17944033895401. The next prime is 17944033895509. The reversal of 17944033895425 is 52459833044971.

It is not a de Polignac number, because 17944033895425 - 223 = 17944025506817 is a prime.

It is a super-3 number, since 3×179440338954253 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian 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, 138224647 + ... + 138354403.

It is an arithmetic number, because the mean of its divisors is an integer number (509079301884).

Almost surely, 217944033895425 is an apocalyptic number.

It is an amenable number.

17944033895425 is a deficient number, since it is larger than the sum of its proper divisors (6491772595007).

17944033895425 is a wasteful number, since it uses less digits than its factorization.

17944033895425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133138 (or 133133 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 64.

The spelling of 17944033895425 in words is "seventeen trillion, nine hundred forty-four billion, thirty-three million, eight hundred ninety-five thousand, four hundred twenty-five".

Divisors: 1 5 11 25 55 157 275 785 1727 3203 3925 8635 16015 35233 43175 80075 129757 176165 502871 648785 880825 1427327 2514355 3243925 5531581 7136635 12571775 20371849 27657905 35683175 101859245 138289525 224090339 415611671 509296225 1120451695 2078058355 4571728381 5602258475 10390291775 22858641905 65251032347 114293209525 326255161735 717761355817 1631275808675 3588806779085 17944033895425