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146245013664435 = 3257464269884649
BaseRepresentation
bin100001010000001001010010…
…000101101111001010110011
3201011210212221110012212010200
4201100021102011233022303
5123132034241444230220
61235012010511130243
742542565525423450
oct4120112205571263
9634725843185120
10146245013664435
1142664186683164
121449b31b213983
13637aacba7625a
142818421586827
1511d927d635890
hex85025216f2b3

146245013664435 has 24 divisors (see below), whose sum is σ = 289704408021600. Its totient is φ = 66854863389312.

The previous prime is 146245013664413. The next prime is 146245013664457. The reversal of 146245013664435 is 534466310542641.

146245013664435 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 4 + 501 + 3 + 66 + 44 + 35 = 666.

It is an interprime number because it is at equal distance from previous prime (146245013664413) and next prime (146245013664457).

It is not a de Polignac number, because 146245013664435 - 28 = 146245013664179 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232134942010 + ... + 232134942639.

It is an arithmetic number, because the mean of its divisors is an integer number (12071017000900).

Almost surely, 2146245013664435 is an apocalyptic number.

146245013664435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

146245013664435 is a deficient number, since it is larger than the sum of its proper divisors (143459394357165).

146245013664435 is a wasteful number, since it uses less digits than its factorization.

146245013664435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464269884667 (or 464269884664 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 146245013664435 in words is "one hundred forty-six trillion, two hundred forty-five billion, thirteen million, six hundred sixty-four thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 464269884649 1392809653947 2321349423245 3249889192543 4178428961841 6964048269735 9749667577629 16249445962715 20892144809205 29249002732887 48748337888145 146245013664435