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420738616272 = 243131303751719
BaseRepresentation
bin1100001111101011111…
…10011100101111010000
31111012222222221020021210
412013311332130233100
523343133041210042
6521141252420120
742253203142062
oct6076576345720
91435888836253
10420738616272
11152485a86797
1269660617640
13308a2056110
14165145d5732
15ae27413a9c
hex61f5f9cbd0

420738616272 has 80 divisors (see below), whose sum is σ = 1170628824960. Its totient is φ = 129445602816.

The previous prime is 420738616271. The next prime is 420738616313. The reversal of 420738616272 is 272616837024.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420738616271) 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 15 ways as a sum of consecutive naturals, for example, 8109229 + ... + 8160947.

It is an arithmetic number, because the mean of its divisors is an integer number (14632860312).

Almost surely, 2420738616272 is an apocalyptic number.

It is an amenable number.

420738616272 is an abundant number, since it is smaller than the sum of its proper divisors (749890208688).

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

420738616272 is a wasteful number, since it uses less digits than its factorization.

420738616272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64780 (or 64774 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 420738616272 in words is "four hundred twenty billion, seven hundred thirty-eight million, six hundred sixteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 13037 26074 39111 51719 52148 78222 103438 104296 155157 156444 169481 206876 208592 310314 312888 338962 413752 508443 620628 625776 672347 677924 827504 1016886 1241256 1344694 1355848 2017041 2033772 2482512 2689388 2711696 4034082 4067544 5378776 8068164 8135088 10757552 16136328 32272656 674260603 1348521206 2022781809 2697042412 4045563618 5394084824 8091127236 8765387839 10788169648 16182254472 17530775678 26296163517 32364508944 35061551356 52592327034 70123102712 105184654068 140246205424 210369308136 420738616272