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1137337812 = 2232135345853
BaseRepresentation
bin100001111001010…
…0110010111010100
32221021002202011200
41003302212113110
54312124302222
6304505032500
740120132452
oct10362462724
92837082150
101137337812
11533aa7806
12278a85730
13151824870
14ab09b9d2
1569cadeac
hex43ca65d4

1137337812 has 72 divisors (see below), whose sum is σ = 3154571784. Its totient is φ = 343339776.

The previous prime is 1137337763. The next prime is 1137337829. The reversal of 1137337812 is 2187337311.

It can be written as a sum of positive squares in 4 ways, for example, as 364275396 + 773062416 = 19086^2 + 27804^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1878 + ... + 47730.

It is an arithmetic number, because the mean of its divisors is an integer number (43813497).

Almost surely, 21137337812 is an apocalyptic number.

1137337812 is a gapful number since it is divisible by the number (12) 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 1137337812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577285892).

1137337812 is an abundant number, since it is smaller than the sum of its proper divisors (2017233972).

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

1137337812 is a wasteful number, since it uses less digits than its factorization.

1137337812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45929 (or 45924 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 1137337812 is about 33724.4393874828. The cubic root of 1137337812 is about 1043.8301238550.

The spelling of 1137337812 in words is "one billion, one hundred thirty-seven million, three hundred thirty-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 468 477 636 689 954 1378 1908 2067 2756 4134 6201 8268 12402 24804 45853 91706 137559 183412 275118 412677 550236 596089 825354 1192178 1650708 1788267 2384356 2430209 3576534 4860418 5364801 7153068 7290627 9720836 10729602 14581254 21459204 21871881 29162508 31592717 43743762 63185434 87487524 94778151 126370868 189556302 284334453 379112604 568668906 1137337812