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42264360213732 = 22322940483103653
BaseRepresentation
bin10011001110000011100000…
…01011010101110011100100
312112122102200221011011022200
421213001300023111303210
521014424402203314412
6225515551250054500
711621333150223636
oct1147016013256344
9175572627134280
1042264360213732
111251523a569238
1248a714887a430
131a7768701a9b7
14a6186aa1ca56
154d45d659b9dc
hex2670702d5ce4

42264360213732 has 36 divisors (see below), whose sum is σ = 110518872975420. Its totient is φ = 13602322827072.

The previous prime is 42264360213727. The next prime is 42264360213739. The reversal of 42264360213732 is 23731206346224.

42264360213732 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 4 + 3 + 602 + 1 + 3 + 7 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33518819727936 + 8745540485796 = 5789544^2 + 2957286^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×422643602137322 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42264360213739) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20241550783 + ... + 20241552870.

Almost surely, 242264360213732 is an apocalyptic number.

It is an amenable number.

42264360213732 is an abundant number, since it is smaller than the sum of its proper divisors (68254512761688).

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

42264360213732 is a wasteful number, since it uses less digits than its factorization.

42264360213732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40483103692 (or 40483103687 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

Adding to 42264360213732 its reverse (23731206346224), we get a palindrome (65995566559956).

The spelling of 42264360213732 in words is "forty-two trillion, two hundred sixty-four billion, three hundred sixty million, two hundred thirteen thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 40483103653 80966207306 121449310959 161932414612 242898621918 364347932877 485797243836 728695865754 1174010005937 1457391731508 2348020011874 3522030017811 4696040023748 7044060035622 10566090053433 14088120071244 21132180106866 42264360213732