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601130406276 = 22321292212
BaseRepresentation
bin10001011111101100010…
…10100001000110000100
32010110121210220122101100
420233312022201012010
534322103341000101
61140053330500100
761300400101101
oct10576612410604
92113553818340
10601130406276
11211a35496564
1298605434630
13448bcbc606a
1421148459aa8
151098420ce86
hex8bf62a1184

601130406276 has 27 divisors (see below), whose sum is σ = 1519535841733. Its totient is φ = 200375251440.

The previous prime is 601130406199. The next prime is 601130406319. The reversal of 601130406276 is 672604031106.

It is a happy number.

The square root of 601130406276 is 775326.

It is a perfect power (a square), and thus also a powerful number.

601130406276 is a `hidden beast` number, since 601 + 1 + 3 + 0 + 40 + 6 + 2 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 166322046276 + 434808360000 = 407826^2 + 659400^2 .

It is a super-2 number, since 2×6011304062762 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 601130406276.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 4587346 + ... + 4716566.

Almost surely, 2601130406276 is an apocalyptic number.

601130406276 is the 775326-th square number.

It is an amenable number.

601130406276 is an abundant number, since it is smaller than the sum of its proper divisors (918405435457).

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

601130406276 is an frugal number, since it uses more digits than its factorization.

601130406276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258452 (or 129226 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 601130406276 by its sum of digits (36), we get a square (21640694625936 = 46519562).

601130406276 divided by its sum of digits (36) gives a square (16698066841 = 1292212).

The spelling of 601130406276 in words is "six hundred one billion, one hundred thirty million, four hundred six thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 129221 258442 387663 516884 775326 1162989 1550652 2325978 4651956 16698066841 33396133682 50094200523 66792267364 100188401046 150282601569 200376802092 300565203138 601130406276