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42648734511 = 3214159334681
BaseRepresentation
bin100111101110000100…
…000000101100101111
311002002021010012011200
4213232010000230233
51144321034001021
631331554220543
73036606155565
oct475604005457
9132067105150
1042648734511
11170a610a529
128322b84753
134038a598a6
1420c8297a35
1511992e2126
hex9ee100b2f

42648734511 has 12 divisors (see below), whose sum is σ = 61608262560. Its totient is φ = 28430396640.

The previous prime is 42648734483. The next prime is 42648734519. The reversal of 42648734511 is 11543784624.

42648734511 is a `hidden beast` number, since 4 + 2 + 64 + 8 + 73 + 4 + 511 = 666.

It is not a de Polignac number, because 42648734511 - 29 = 42648733999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42648734519) 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 11 ways as a sum of consecutive naturals, for example, 39910 + ... + 294771.

It is an arithmetic number, because the mean of its divisors is an integer number (5134021880).

Almost surely, 242648734511 is an apocalyptic number.

42648734511 is a deficient number, since it is larger than the sum of its proper divisors (18959528049).

42648734511 is a wasteful number, since it uses less digits than its factorization.

42648734511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348846 (or 348843 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 42648734511 in words is "forty-two billion, six hundred forty-eight million, seven hundred thirty-four thousand, five hundred eleven".

Divisors: 1 3 9 14159 42477 127431 334681 1004043 3012129 4738748279 14216244837 42648734511