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11681269632 = 27333379997
BaseRepresentation
bin10101110000100001…
…00000011110000000
31010011002100222111000
422320100200132000
5142410401112012
65211042052000
7562321103454
oct127020403600
933132328430
1011681269632
114a5485484a
12232004a000
131142109486
147cb570664
154857b1ddc
hex2b8420780

11681269632 has 64 divisors (see below), whose sum is σ = 34475979600. Its totient is φ = 3893755392.

The previous prime is 11681269631. The next prime is 11681269643. The reversal of 11681269632 is 23696218611.

11681269632 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 1 + 2 + 6 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11681269631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1686543 + ... + 1693454.

Almost surely, 211681269632 is an apocalyptic number.

11681269632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11681269632 is an abundant number, since it is smaller than the sum of its proper divisors (22794709968).

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

11681269632 is an equidigital number, since it uses as much as digits as its factorization.

11681269632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380020 (or 3380002 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 11681269632 in words is "eleven billion, six hundred eighty-one million, two hundred sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 3379997 6759994 10139991 13519988 20279982 27039976 30419973 40559964 54079952 60839946 81119928 91259919 108159904 121679892 162239856 182519838 216319808 243359784 324479712 365039676 432639616 486719568 648959424 730079352 973439136 1297918848 1460158704 1946878272 2920317408 3893756544 5840634816 11681269632