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4191345834 = 23131034011301
BaseRepresentation
bin1111100111010010…
…1101110010101010
3101211002202102120220
43321310231302222
532040441031314
61531523030510
7205602565104
oct37164556252
911732672526
104191345834
1118609a6185
1298b80b436
1351a4688c0
142ba922574
15197e703a9
hexf9d2dcaa

4191345834 has 64 divisors (see below), whose sum is σ = 9144914688. Its totient is φ = 1272960000.

The previous prime is 4191345817. The next prime is 4191345877. The reversal of 4191345834 is 4385431914.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3220984 + ... + 3222284.

It is an arithmetic number, because the mean of its divisors is an integer number (142889292).

Almost surely, 24191345834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4191345834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572457344).

4191345834 is an abundant number, since it is smaller than the sum of its proper divisors (4953568854).

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

4191345834 is a wasteful number, since it uses less digits than its factorization.

4191345834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823.

The product of its digits is 207360, while the sum is 42.

The square root of 4191345834 is about 64740.6042140479. The cubic root of 4191345834 is about 1612.3197189952.

The spelling of 4191345834 in words is "four billion, one hundred ninety-one million, three hundred forty-five thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 103 206 309 401 618 802 1203 1301 1339 2406 2602 2678 3903 4017 5213 7806 8034 10426 15639 16913 31278 33826 41303 50739 82606 101478 123909 134003 247818 268006 402009 521701 536939 804018 1043402 1073878 1565103 1610817 1742039 3130206 3221634 3484078 5226117 6782113 10452234 13564226 20346339 40692678 53735203 107470406 161205609 322411218 698557639 1397115278 2095672917 4191345834