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11890804896 = 2532313131909
BaseRepresentation
bin10110001001011111…
…10100100010100000
31010200200122110211100
423010233310202200
5143323021224041
65243525114400
7600444113445
oct130457644240
933620573740
1011890804896
11505205a793
12237a258a00
131176651939
1480b3159cc
15498da16b6
hex2c4bf48a0

11890804896 has 72 divisors (see below), whose sum is σ = 33922767060. Its totient is φ = 3950908416.

The previous prime is 11890804879. The next prime is 11890804909. The reversal of 11890804896 is 69840809811.

11890804896 is a `hidden beast` number, since 1 + 1 + 89 + 0 + 80 + 489 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11270794896 + 620010000 = 106164^2 + 24900^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24190 + ... + 156098.

Almost surely, 211890804896 is an apocalyptic number.

11890804896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11890804896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16961383530).

11890804896 is an abundant number, since it is smaller than the sum of its proper divisors (22031962164).

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

11890804896 is a wasteful number, since it uses less digits than its factorization.

11890804896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132238 (or 132227 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 11890804896 in words is "eleven billion, eight hundred ninety million, eight hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 313 626 939 1252 1878 2504 2817 3756 5008 5634 7512 10016 11268 15024 22536 30048 45072 90144 131909 263818 395727 527636 791454 1055272 1187181 1582908 2110544 2374362 3165816 4221088 4748724 6331632 9497448 12663264 18994896 37989792 41287517 82575034 123862551 165150068 247725102 330300136 371587653 495450204 660600272 743175306 990900408 1321200544 1486350612 1981800816 2972701224 3963601632 5945402448 11890804896