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2113153344 = 26328941221
BaseRepresentation
bin111110111110100…
…0010100101000000
312110021021022102200
41331331002211000
513311431401334
6545404113200
7103236335631
oct17575024500
95407238380
102113153344
11994902425
124ab835800
13278a44ac3
14160911888
15c57b4799
hex7df42940

2113153344 has 84 divisors (see below), whose sum is σ = 6125176980. Its totient is φ = 696453120.

The previous prime is 2113153327. The next prime is 2113153369. The reversal of 2113153344 is 4433513112.

It is a happy number.

2113153344 is a `hidden beast` number, since 2 + 1 + 1 + 315 + 3 + 344 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 373262400 + 1739890944 = 19320^2 + 41712^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30654 + ... + 71874.

Almost surely, 22113153344 is an apocalyptic number.

2113153344 is a gapful number since it is divisible by the number (24) 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 2113153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062588490).

2113153344 is an abundant number, since it is smaller than the sum of its proper divisors (4012023636).

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

2113153344 is a wasteful number, since it uses less digits than its factorization.

2113153344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41328 (or 41315 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2113153344 is about 45969.0476734074. The cubic root of 2113153344 is about 1283.2472368770.

Adding to 2113153344 its reverse (4433513112), we get a palindrome (6546666456).

The spelling of 2113153344 in words is "two billion, one hundred thirteen million, one hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 144 178 192 267 288 356 534 576 712 801 1068 1424 1602 2136 2848 3204 4272 5696 6408 8544 12816 17088 25632 41221 51264 82442 123663 164884 247326 329768 370989 494652 659536 741978 989304 1319072 1483956 1978608 2638144 2967912 3668669 3957216 5935824 7337338 7914432 11006007 11871648 14674676 22012014 23743296 29349352 33018021 44024028 58698704 66036042 88048056 117397408 132072084 176096112 234794816 264144168 352192224 528288336 704384448 1056576672 2113153344