Search a number
-
+
11195956856 = 237477358271
BaseRepresentation
bin10100110110101010…
…01011111001111000
31001220021011112111202
422123111023321320
5140412131104411
65050544113332
7544306030430
oct123325137170
931807145452
1011195956856
11482590a107
122205605848
1310956c7556
14782d1d2c0
15457d9a83b
hex29b54be78

11195956856 has 64 divisors (see below), whose sum is σ = 24837857280. Its totient is φ = 4631765760.

The previous prime is 11195956847. The next prime is 11195956921. The reversal of 11195956856 is 65865959111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 163001 + ... + 221271.

It is an arithmetic number, because the mean of its divisors is an integer number (388091520).

Almost surely, 211195956856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11195956856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12418928640).

11195956856 is an abundant number, since it is smaller than the sum of its proper divisors (13641900424).

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

11195956856 is a wasteful number, since it uses less digits than its factorization.

11195956856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58404 (or 58400 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 56.

The spelling of 11195956856 in words is "eleven billion, one hundred ninety-five million, nine hundred fifty-six thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 47 56 73 94 146 188 292 329 376 511 584 658 1022 1316 2044 2632 3431 4088 6862 13724 24017 27448 48034 58271 96068 116542 192136 233084 407897 466168 815794 1631588 2738737 3263176 4253783 5477474 8507566 10954948 17015132 19171159 21909896 29776481 34030264 38342318 59552962 76684636 119105924 153369272 199927801 238211848 399855602 799711204 1399494607 1599422408 2798989214 5597978428 11195956856