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2136496914 = 2321921971669
BaseRepresentation
bin111111101011000…
…0101101100010010
312111220012021210100
41333112011230102
513333420400124
6552000313230
7103641631656
oct17726055422
95456167710
102136496914
119a6aa6832
124b7612816
13280829076
14163a6aa66
15c78761c9
hex7f585b12

2136496914 has 72 divisors (see below), whose sum is σ = 4913276940. Its totient is φ = 670856256.

The previous prime is 2136496891. The next prime is 2136496931. The reversal of 2136496914 is 4196946312.

It can be written as a sum of positive squares in 2 ways, for example, as 1901396025 + 235100889 = 43605^2 + 15333^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2136496914.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1279272 + ... + 1280940.

Almost surely, 22136496914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136496914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456638470).

2136496914 is an abundant number, since it is smaller than the sum of its proper divisors (2776780026).

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

2136496914 is a wasteful number, since it uses less digits than its factorization.

2136496914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1890 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 2136496914 is about 46222.2556135029. The cubic root of 2136496914 is about 1287.9551992602.

The spelling of 2136496914 in words is "two billion, one hundred thirty-six million, four hundred ninety-six thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 197 342 361 394 591 722 1083 1182 1669 1773 2166 3249 3338 3546 3743 5007 6498 7486 10014 11229 15021 22458 30042 31711 33687 63422 67374 71117 95133 142234 190266 213351 285399 328793 426702 570798 602509 640053 657586 986379 1205018 1280106 1807527 1972758 2959137 3615054 5422581 5918274 6247067 10845162 12494134 18741201 37482402 56223603 112447206 118694273 237388546 356082819 712165638 1068248457 2136496914