Search a number
-
+
5350115430 = 23251124431109
BaseRepresentation
bin1001111101110010…
…00100100001100110
3111210212012000122100
410332321010201212
541424112143210
62242515312530
7246403142112
oct47671044146
914725160570
105350115430
1122a6000a00
1210538ab746
1367355549a
1438a79c742
15214a645c0
hex13ee44866

5350115430 has 144 divisors (see below), whose sum is σ = 15338166480. Its totient is φ = 1292903040.

The previous prime is 5350115401. The next prime is 5350115447. The reversal of 5350115430 is 345110535.

5350115430 is a `hidden beast` number, since 5 + 3 + 501 + 154 + 3 + 0 = 666.

It is a super-2 number, since 2×53501154302 = 57247470228648169800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5350115394 and 5350115403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4823716 + ... + 4824824.

It is an arithmetic number, because the mean of its divisors is an integer number (106515045).

Almost surely, 25350115430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5350115430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7669083240).

5350115430 is an abundant number, since it is smaller than the sum of its proper divisors (9988051050).

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

5350115430 is a wasteful number, since it uses less digits than its factorization.

5350115430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 5350115430 is about 73144.4832506184. The cubic root of 5350115430 is about 1748.9915746598.

Adding to 5350115430 its reverse (345110535), we get a palindrome (5695225965).

The spelling of 5350115430 in words is "five billion, three hundred fifty million, one hundred fifteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 443 495 605 726 886 990 1089 1109 1210 1329 1815 2178 2215 2218 2658 3327 3630 3987 4430 4873 5445 5545 6645 6654 7974 9746 9981 10890 11090 12199 13290 14619 16635 19935 19962 24365 24398 29238 33270 36597 39870 43857 48730 49905 53603 60995 73095 73194 87714 99810 107206 109791 121990 134189 146190 160809 182985 219285 219582 268015 268378 321618 365970 402567 438570 482427 491287 536030 548955 670945 804045 805134 964854 982574 1097910 1207701 1341890 1473861 1608090 2012835 2412135 2415402 2456435 2947722 4025670 4421583 4824270 4912870 5404157 6038505 7369305 8843166 10808314 12077010 14738610 16212471 22107915 27020785 32424942 44215830 48637413 54041570 59445727 81062355 97274826 118891454 162124710 178337181 243187065 297228635 356674362 486374130 535011543 594457270 891685905 1070023086 1783371810 2675057715 5350115430