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11476792960 = 27517932489
BaseRepresentation
bin10101011000001000…
…11111011010000000
31002121211121111012221
422230010133122000
5142001024333320
65134455300424
7554256062533
oct125404373200
932554544187
1011476792960
11495a394466
12228367a714
13110b945669
147ac344a1a
154728713aa
hex2ac11f680

11476792960 has 32 divisors (see below), whose sum is σ = 27436709700. Its totient is φ = 4590716928.

The previous prime is 11476792919. The next prime is 11476792969. The reversal of 11476792960 is 6929767411.

It can be written as a sum of positive squares in 2 ways, for example, as 11254663744 + 222129216 = 106088^2 + 14904^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 11476792898 and 11476792907.

It is not an unprimeable number, because it can be changed into a prime (11476792969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8965605 + ... + 8966884.

Almost surely, 211476792960 is an apocalyptic number.

11476792960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11476792960 is an abundant number, since it is smaller than the sum of its proper divisors (15959916740).

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

11476792960 is an equidigital number, since it uses as much as digits as its factorization.

11476792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17932508 (or 17932496 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 52.

The spelling of 11476792960 in words is "eleven billion, four hundred seventy-six million, seven hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 17932489 35864978 71729956 89662445 143459912 179324890 286919824 358649780 573839648 717299560 1147679296 1434599120 2295358592 2869198240 5738396480 11476792960