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103546042164 = 22328932317741
BaseRepresentation
bin110000001101111010…
…0110011011100110100
3100220021022010221121200
41200123310303130310
53144030241322124
6115322435012500
710323652556565
oct1403364633464
9326238127550
10103546042164
113aa06050064
121809943a130
1399c2379b46
145023da616c
152a606ddbc9
hex181bd33734

103546042164 has 36 divisors (see below), whose sum is σ = 264682306980. Its totient is φ = 34127533440.

The previous prime is 103546042141. The next prime is 103546042309. The reversal of 103546042164 is 461240645301.

103546042164 is a `hidden beast` number, since 1 + 0 + 35 + 4 + 604 + 2 + 16 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9884336400 + 93661705764 = 99420^2 + 306042^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1035460421643 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16155667 + ... + 16162074.

It is an arithmetic number, because the mean of its divisors is an integer number (7352286305).

Almost surely, 2103546042164 is an apocalyptic number.

It is an amenable number.

103546042164 is an abundant number, since it is smaller than the sum of its proper divisors (161136264816).

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

103546042164 is a wasteful number, since it uses less digits than its factorization.

103546042164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32317840 (or 32317835 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 103546042164 its reverse (461240645301), we get a palindrome (564786687465).

The spelling of 103546042164 in words is "one hundred three billion, five hundred forty-six million, forty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 32317741 64635482 96953223 129270964 193906446 290859669 387812892 581719338 1163438676 2876278949 5752557898 8628836847 11505115796 17257673694 25886510541 34515347388 51773021082 103546042164