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145784134962 = 2332699706203
BaseRepresentation
bin1000011111000101101…
…0010101110100110010
3111221021221120101021000
42013301122111310302
54342031214304322
6150550003542430
713350444462354
oct2076132256462
9457257511230
10145784134962
1156910386374
122430698aa16
131099400a46b
1470ad8c90d4
153bd39193ac
hex21f1695d32

145784134962 has 16 divisors (see below), whose sum is σ = 323964744480. Its totient is φ = 48594711636.

The previous prime is 145784134907. The next prime is 145784134987. The reversal of 145784134962 is 269431487541.

145784134962 is a `hidden beast` number, since 1 + 4 + 578 + 4 + 1 + 3 + 4 + 9 + 62 = 666.

145784134962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 2699706203 = 145784134962 / (1 + 4 + 5 + 7 + 8 + 4 + 1 + 3 + 4 + 9 + 6 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 145784134899 and 145784134908.

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 7 ways as a sum of consecutive naturals, for example, 1349853048 + ... + 1349853155.

It is an arithmetic number, because the mean of its divisors is an integer number (20247796530).

Almost surely, 2145784134962 is an apocalyptic number.

145784134962 is an abundant number, since it is smaller than the sum of its proper divisors (178180609518).

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

145784134962 is a wasteful number, since it uses less digits than its factorization.

145784134962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699706214 (or 2699706208 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 145784134962 in words is "one hundred forty-five billion, seven hundred eighty-four million, one hundred thirty-four thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 54 2699706203 5399412406 8099118609 16198237218 24297355827 48594711654 72892067481 145784134962