Search a number
-
+
11657730456 = 2332161912923
BaseRepresentation
bin10101101101101101…
…01101100110011000
31010002110002001210200
422312312231212120
5142333334333311
65204441342200
7561614034231
oct126666554630
933073061720
1011657730456
114a42537489
122314197960
13113a287178
147c83a4088
154836b2556
hex2b6dad998

11657730456 has 24 divisors (see below), whose sum is σ = 31573020180. Its totient is φ = 3885910128.

The previous prime is 11657730397. The next prime is 11657730457. The reversal of 11657730456 is 65403775611.

11657730456 is a `hidden beast` number, since 1 + 1 + 6 + 577 + 30 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11657730457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 80956390 + ... + 80956533.

Almost surely, 211657730456 is an apocalyptic number.

It is an amenable number.

11657730456 is an abundant number, since it is smaller than the sum of its proper divisors (19915289724).

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

11657730456 is a wasteful number, since it uses less digits than its factorization.

11657730456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161912935 (or 161912928 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 11657730456 in words is "eleven billion, six hundred fifty-seven million, seven hundred thirty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 161912923 323825846 485738769 647651692 971477538 1295303384 1457216307 1942955076 2914432614 3885910152 5828865228 11657730456