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145760998653 = 32541191315649
BaseRepresentation
bin1000011111000000001…
…0000101010011111101
3111221020100000221012200
42013300002011103331
54342004303424103
6150543420022113
713350044021514
oct2076002052375
9457210027180
10145760998653
11568a9313756
12242bb091939
131098c29963a
1470aa7c567b
153bd18990a3
hex21f00854fd

145760998653 has 24 divisors (see below), whose sum is σ = 211056588600. Its totient is φ = 96937482240.

The previous prime is 145760998639. The next prime is 145760998667. The reversal of 145760998653 is 356899067541.

145760998653 is a `hidden beast` number, since 1 + 4 + 576 + 0 + 9 + 9 + 8 + 6 + 53 = 666.

It is an interprime number because it is at equal distance from previous prime (145760998639) and next prime (145760998667).

It can be written as a sum of positive squares in 4 ways, for example, as 18838386009 + 126922612644 = 137253^2 + 356262^2 .

It is not a de Polignac number, because 145760998653 - 212 = 145760994557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145760998153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9306573 + ... + 9322221.

It is an arithmetic number, because the mean of its divisors is an integer number (8794024525).

Almost surely, 2145760998653 is an apocalyptic number.

It is an amenable number.

145760998653 is a deficient number, since it is larger than the sum of its proper divisors (65295589947).

145760998653 is a wasteful number, since it uses less digits than its factorization.

145760998653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18109 (or 18106 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 145760998653 in words is "one hundred forty-five billion, seven hundred sixty million, nine hundred ninety-eight thousand, six hundred fifty-three".

Divisors: 1 3 9 541 1623 1913 4869 5739 15649 17217 46947 140841 1034933 3104799 8466109 9314397 25398327 29936537 76194981 89809611 269428833 16195666517 48586999551 145760998653