Search a number
-
+
313542245550 = 235219577919037
BaseRepresentation
bin1001001000000001001…
…00101111110010101110
31002222022022001101021010
410210000210233302232
520114113303324200
6400012254250050
731436604053652
oct4440044576256
91088268041233
10313542245550
11110a77472876
12509247b6926
132374a657361
14112658dca62
158251521150
hex490092fcae

313542245550 has 96 divisors (see below), whose sum is σ = 818694921600. Its totient is φ = 79192805760.

The previous prime is 313542245519. The next prime is 313542245579. The reversal of 313542245550 is 55542245313.

It is a junction number, because it is equal to n+sod(n) for n = 313542245499 and 313542245508.

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 47 ways as a sum of consecutive naturals, for example, 16460632 + ... + 16479668.

It is an arithmetic number, because the mean of its divisors is an integer number (8528072100).

Almost surely, 2313542245550 is an apocalyptic number.

313542245550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313542245550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409347460800).

313542245550 is an abundant number, since it is smaller than the sum of its proper divisors (505152676050).

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

313542245550 is a wasteful number, since it uses less digits than its factorization.

313542245550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24850 (or 24845 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 39.

The spelling of 313542245550 in words is "three hundred thirteen billion, five hundred forty-two million, two hundred forty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 950 1425 2850 5779 11558 17337 19037 28895 34674 38074 57111 57790 86685 95185 109801 114222 144475 173370 190370 219602 285555 288950 329403 361703 433425 475925 549005 571110 658806 723406 866850 951850 1085109 1098010 1427775 1647015 1808515 2170218 2745025 2855550 3294030 3617030 5425545 5490050 8235075 9042575 10851090 16470150 18085150 27127725 54255450 110014823 220029646 330044469 550074115 660088938 1100148230 1650222345 2090281637 2750370575 3300444690 4180563274 5500741150 6270844911 8251111725 10451408185 12541689822 16502223450 20902816370 31354224555 52257040925 62708449110 104514081850 156771122775 313542245550