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2413127064 = 2332319492243
BaseRepresentation
bin1000111111010101…
…0110010110011000
320020011201120000110
42033311112112120
514420230031224
61035241404320
7113541145605
oct21765262630
96204646013
102413127064
111029169097
125741996a0
132c5c3394a
1418c6b96ac
15e1cba929
hex8fd56598

2413127064 has 64 divisors (see below), whose sum is σ = 6301152000. Its totient is φ = 768665216.

The previous prime is 2413127051. The next prime is 2413127071. The reversal of 2413127064 is 4607213142.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1074727 + ... + 1076969.

It is an arithmetic number, because the mean of its divisors is an integer number (98455500).

Almost surely, 22413127064 is an apocalyptic number.

2413127064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2413127064 is an abundant number, since it is smaller than the sum of its proper divisors (3888024936).

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

2413127064 is a wasteful number, since it uses less digits than its factorization.

2413127064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2413127064 is about 49123.5896896796. The cubic root of 2413127064 is about 1341.3024879264.

The spelling of 2413127064 in words is "two billion, four hundred thirteen million, one hundred twenty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 1949 2243 3898 4486 5847 6729 7796 8972 11694 13458 15592 17944 23388 26916 44827 46776 51589 53832 89654 103178 134481 154767 179308 206356 268962 309534 358616 412712 537924 619068 1075848 1238136 4371607 8743214 13114821 17486428 26229642 34972856 52459284 100546961 104918568 201093922 301640883 402187844 603281766 804375688 1206563532 2413127064