Search a number
-
+
11350357460 = 2251359212541
BaseRepresentation
bin10101001001000100…
…01011010111010100
31002022000200220022122
422210202023113110
5141221142414320
65114141315112
7551162306111
oct124442132724
932260626278
1011350357460
1148a4a87612
122249265a98
1310bb6a7460
14799631908
154666e8d25
hex2a488b5d4

11350357460 has 72 divisors (see below), whose sum is σ = 26113798536. Its totient is φ = 4119540480.

The previous prime is 11350357439. The next prime is 11350357471. The reversal of 11350357460 is 6475305311.

It can be written as a sum of positive squares in 4 ways, for example, as 1195361476 + 10154995984 = 34574^2 + 100772^2 .

It is a super-2 number, since 2×113503574602 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11350357460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 898790 + ... + 911330.

Almost surely, 211350357460 is an apocalyptic number.

11350357460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11350357460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13056899268).

11350357460 is an abundant number, since it is smaller than the sum of its proper divisors (14763441076).

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

11350357460 is a wasteful number, since it uses less digits than its factorization.

11350357460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12681 (or 12620 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The spelling of 11350357460 in words is "eleven billion, three hundred fifty million, three hundred fifty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 236 260 295 590 767 1180 1534 3068 3481 3835 6962 7670 12541 13924 15340 17405 25082 34810 45253 50164 62705 69620 90506 125410 163033 181012 226265 250820 326066 452530 652132 739919 815165 905060 1479838 1630330 2959676 3260660 3699595 7399190 9618947 14798380 19237894 38475788 43655221 48094735 87310442 96189470 174620884 192378940 218276105 436552210 567517873 873104420 1135035746 2270071492 2837589365 5675178730 11350357460