Search a number
-
+
11640710424 = 2337174075879
BaseRepresentation
bin10101101011101011…
…10010010100011000
31010001021001100201010
422311311302110120
5142320010213144
65203032453520
7561316256160
oct126565622430
933037040633
1011640710424
114a33972042
12230a54a2a0
1311368a8245
147c60135a0
15481e4e5b9
hex2b5d72518

11640710424 has 64 divisors (see below), whose sum is σ = 35215603200. Its totient is φ = 3130274304.

The previous prime is 11640710413. The next prime is 11640710429. The reversal of 11640710424 is 42401704611.

11640710424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×116407104242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11640710391 and 11640710400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11640710429) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2035084 + ... + 2040795.

It is an arithmetic number, because the mean of its divisors is an integer number (550243800).

Almost surely, 211640710424 is an apocalyptic number.

11640710424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11640710424 is an abundant number, since it is smaller than the sum of its proper divisors (23574892776).

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

11640710424 is a wasteful number, since it uses less digits than its factorization.

11640710424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075912 (or 4075908 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 11640710424 in words is "eleven billion, six hundred forty million, seven hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 4075879 8151758 12227637 16303516 24455274 28531153 32607032 48910548 57062306 69289943 85593459 97821096 114124612 138579886 171186918 207869829 228249224 277159772 342373836 415739658 485029601 554319544 684747672 831479316 970059202 1455088803 1662958632 1940118404 2910177606 3880236808 5820355212 11640710424