Search a number
-
+
11377449792 = 263253372689
BaseRepresentation
bin10101001100010011…
…00001101101000000
31002100220200100000100
422212021201231000
5141300111343132
65120550122400
7551641504362
oct124611415500
932326610010
1011377449792
114909301475
122256350400
1310c41a1b17
1479d084d32
15468c9b37c
hex2a6261b40

11377449792 has 84 divisors (see below), whose sum is σ = 33226804260. Its totient is φ = 3720916992.

The previous prime is 11377449763. The next prime is 11377449817. The reversal of 11377449792 is 29794477311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9901046016 + 1476403776 = 99504^2 + 38424^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155817 + ... + 216872.

Almost surely, 211377449792 is an apocalyptic number.

11377449792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11377449792 is an abundant number, since it is smaller than the sum of its proper divisors (21849354468).

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

11377449792 is a wasteful number, since it uses less digits than its factorization.

11377449792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372760 (or 372747 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The spelling of 11377449792 in words is "eleven billion, three hundred seventy-seven million, four hundred forty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 424 477 576 636 848 954 1272 1696 1908 2544 3392 3816 5088 7632 10176 15264 30528 372689 745378 1118067 1490756 2236134 2981512 3354201 4472268 5963024 6708402 8944536 11926048 13416804 17889072 19752517 23852096 26833608 35778144 39505034 53667216 59257551 71556288 79010068 107334432 118515102 158020136 177772653 214668864 237030204 316040272 355545306 474060408 632080544 711090612 948120816 1264161088 1422181224 1896241632 2844362448 3792483264 5688724896 11377449792