Search a number
-
+
145885961637 = 32131571793691
BaseRepresentation
bin1000011111011101111…
…0110001110110100101
3111221120001011201012100
42013313132301312211
54342233301233022
6151004042242313
713353122133213
oct2076736616645
9457501151170
10145885961637
1156962905249
1224334ab6399
13109ac140530
1470bd233cb3
153bdc8301ac
hex21f77b1da5

145885961637 has 24 divisors (see below), whose sum is σ = 227078455968. Its totient is φ = 89718717600.

The previous prime is 145885961597. The next prime is 145885961659. The reversal of 145885961637 is 736169588541.

145885961637 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 8 + 5 + 9 + 616 + 3 + 7 = 666.

It is not a de Polignac number, because 145885961637 - 215 = 145885928869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145885961437) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 213039 + ... + 580652.

It is an arithmetic number, because the mean of its divisors is an integer number (9461602332).

Almost surely, 2145885961637 is an apocalyptic number.

It is an amenable number.

145885961637 is a deficient number, since it is larger than the sum of its proper divisors (81192494331).

145885961637 is a wasteful number, since it uses less digits than its factorization.

145885961637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795281 (or 795278 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 145885961637 in words is "one hundred forty-five billion, eight hundred eighty-five million, nine hundred sixty-one thousand, six hundred thirty-seven".

Divisors: 1 3 9 13 39 117 1571 4713 14139 20423 61269 183807 793691 2381073 7143219 10317983 30953949 92861847 1246888561 3740665683 11221997049 16209551293 48628653879 145885961637