Search a number
-
+
5096135322 = 2321731618807
BaseRepresentation
bin1001011111100000…
…01101101010011010
3111011011021111102200
410233300031222122
540414102312242
62201403511030
7240200302245
oct45760155232
914134244380
105096135322
1121856a9993
12ba2828476
13632a4b2b5
14364b6825c
151ec5e604c
hex12fc0da9a

5096135322 has 96 divisors (see below), whose sum is σ = 12267500544. Its totient is φ = 1521676800.

The previous prime is 5096135309. The next prime is 5096135327. The reversal of 5096135322 is 2235316905.

5096135322 is a `hidden beast` number, since 5 + 0 + 9 + 613 + 5 + 32 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (5096135327) by changing a digit.

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, 574243 + ... + 583049.

It is an arithmetic number, because the mean of its divisors is an integer number (127786464).

Almost surely, 25096135322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5096135322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6133750272).

5096135322 is an abundant number, since it is smaller than the sum of its proper divisors (7171365222).

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

5096135322 is a wasteful number, since it uses less digits than its factorization.

5096135322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8924 (or 8921 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 5096135322 is about 71387.2209992797. The cubic root of 5096135322 is about 1720.8657217938.

The spelling of 5096135322 in words is "five billion, ninety-six million, one hundred thirty-five thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 31 34 51 61 62 93 102 122 153 183 186 279 306 366 527 549 558 1037 1054 1098 1581 1891 2074 3111 3162 3782 4743 5673 6222 8807 9333 9486 11346 17019 17614 18666 26421 32147 34038 52842 64294 79263 96441 149719 158526 192882 273017 289323 299438 449157 537227 546034 578646 819051 898314 1074454 1347471 1611681 1638102 2457153 2694942 3223362 4641289 4835043 4914306 9132859 9282578 9670086 13923867 16654037 18265718 27398577 27847734 33308074 41771601 49962111 54797154 82195731 83543202 99924222 149886333 164391462 283118629 299772666 566237258 849355887 1698711774 2548067661 5096135322