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11086049952 = 253238493229
BaseRepresentation
bin10100101001100011…
…11011001010100000
31001121121100200120200
422110301323022200
5140201012044302
65032020305200
7541502604225
oct122461731240
931547320520
1011086049952
11477987145a
122194842200
1310789c5693
147724ad94c
1544d3da81c
hex294c7b2a0

11086049952 has 36 divisors (see below), whose sum is σ = 31525955370. Its totient is φ = 3695349888.

The previous prime is 11086049939. The next prime is 11086049963. The reversal of 11086049952 is 25994068011.

11086049952 is a `hidden beast` number, since 1 + 108 + 6 + 0 + 499 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9855724176 + 1230325776 = 99276^2 + 35076^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11086049898 and 11086049907.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19246327 + ... + 19246902.

Almost surely, 211086049952 is an apocalyptic number.

11086049952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11086049952 is an abundant number, since it is smaller than the sum of its proper divisors (20439905418).

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

11086049952 is a wasteful number, since it uses less digits than its factorization.

11086049952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38493245 (or 38493234 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11086049952 in words is "eleven billion, eighty-six million, forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 38493229 76986458 115479687 153972916 230959374 307945832 346439061 461918748 615891664 692878122 923837496 1231783328 1385756244 1847674992 2771512488 3695349984 5543024976 11086049952