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46201312242 = 23229217472
BaseRepresentation
bin101011000001110100…
…000001001111110010
311102020211220211122200
4223001310001033302
51224110013442432
633120302244030
73223624450221
oct530164011762
9142224824580
1046201312242
1118659488788
128b54886616
134483a749a7
142344020cb8
151306137a7c
hexac1d013f2

46201312242 has 54 divisors (see below), whose sum is σ = 103733071533. Its totient is φ = 14860876464.

The previous prime is 46201312231. The next prime is 46201312243. The reversal of 46201312242 is 24221310264.

46201312242 is a `hidden beast` number, since 4 + 620 + 1 + 3 + 12 + 24 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46173844161 + 27468081 = 214881^2 + 5241^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=151989.

It is a super-2 number, since 2×462013122422 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46201312243) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26445213 + ... + 26446959.

Almost surely, 246201312242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46201312242

46201312242 is an abundant number, since it is smaller than the sum of its proper divisors (57531759291).

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

46201312242 is an equidigital number, since it uses as much as digits as its factorization.

46201312242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Multiplying 46201312242 by its product of nonzero digits (4608), we get a square (212895646811136 = 145909442).

The spelling of 46201312242 in words is "forty-six billion, two hundred one million, three hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 841 1682 1747 2523 3494 5046 5241 7569 10482 15138 15723 31446 50663 101326 151989 303978 455967 911934 1469227 2938454 3052009 4407681 6104018 8815362 9156027 13223043 18312054 26446086 27468081 54936162 88508261 177016522 265524783 531049566 796574349 1593148698 2566739569 5133479138 7700218707 15400437414 23100656121 46201312242