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11345634244 = 2272611974817
BaseRepresentation
bin10101001000100000…
…01010001111000100
31002021200210221021201
422210100022033010
5141213440243434
65113452152244
7551104204600
oct124420121704
932250727251
1011345634244
1148a2350a2a
122247768684
1310ba712659
14798b62500
154660b4614
hex2a440a3c4

11345634244 has 72 divisors (see below), whose sum is σ = 23599161432. Its totient is φ = 4757437440.

The previous prime is 11345634241. The next prime is 11345634257. The reversal of 11345634244 is 44243654311.

It can be written as a sum of positive squares in 4 ways, for example, as 335329344 + 11010304900 = 18312^2 + 104930^2 .

It is not an unprimeable number, because it can be changed into a prime (11345634241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2352924 + ... + 2357740.

It is an arithmetic number, because the mean of its divisors is an integer number (327766131).

Almost surely, 211345634244 is an apocalyptic number.

11345634244 is a gapful number since it is divisible by the number (14) 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 11345634244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11799580716).

11345634244 is an abundant number, since it is smaller than the sum of its proper divisors (12253527188).

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

11345634244 is a wasteful number, since it uses less digits than its factorization.

11345634244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5093 (or 5084 counting only the distinct ones).

The product of its digits is 138240, while the sum is 37.

The spelling of 11345634244 in words is "eleven billion, three hundred forty-five million, six hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 197 244 394 427 788 854 1379 1708 2758 2989 4817 5516 5978 9634 9653 11956 12017 19268 19306 24034 33719 38612 48068 67438 84119 134876 168238 236033 293837 336476 472066 587674 588833 944132 948949 1175348 1177666 1897898 2056859 2355332 3795796 4113718 6642643 8227436 13285286 14398013 26570572 28796026 46498501 57592052 57885889 92997002 115771778 185994004 231543556 405201223 810402446 1620804892 2836408561 5672817122 11345634244