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5340268458 = 2327971792441
BaseRepresentation
bin1001111100100111…
…00000011110101010
3111210011122202010200
410332103200132222
541414102042313
62241524253030
7246223350540
oct47623403652
914704582120
105340268458
1122a0495808
121050541176
136714b8485
14389357d90
15213c6bb73
hex13e4e07aa

5340268458 has 96 divisors (see below), whose sum is σ = 13439986560. Its totient is φ = 1501009920.

The previous prime is 5340268447. The next prime is 5340268471. The reversal of 5340268458 is 8548620435.

5340268458 is a `hidden beast` number, since 5 + 340 + 268 + 45 + 8 = 666.

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 2186518 + ... + 2188958.

It is an arithmetic number, because the mean of its divisors is an integer number (139999860).

Almost surely, 25340268458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5340268458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6719993280).

5340268458 is an abundant number, since it is smaller than the sum of its proper divisors (8099718102).

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

5340268458 is a wasteful number, since it uses less digits than its factorization.

5340268458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 5340268458 is about 73077.1404612961. The cubic root of 5340268458 is about 1747.9179001406.

The spelling of 5340268458 in words is "five billion, three hundred forty million, two hundred sixty-eight thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 179 194 291 358 537 582 679 873 1074 1253 1358 1611 1746 2037 2441 2506 3222 3759 4074 4882 6111 7323 7518 11277 12222 14646 17087 17363 21969 22554 34174 34726 43938 51261 52089 102522 104178 121541 153783 156267 236777 243082 307566 312534 364623 436939 473554 710331 729246 873878 1093869 1310817 1420662 1657439 2130993 2187738 2621634 3058573 3314878 3932451 4261986 4972317 6117146 7864902 9175719 9944634 14916951 18351438 27527157 29833902 42383083 55054314 84766166 127149249 254298498 296681581 381447747 593363162 762895494 890044743 1780089486 2670134229 5340268458