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11379121680 = 243547413007
BaseRepresentation
bin10101001100011111…
…11001111000010000
31002101000211021102010
422212033321320100
5141301023343210
65121050022520
7551661636603
oct124617717020
932330737363
1011379121680
11490a2435a3
122256a17a40
1310c4638ac4
1479d39c33a
15468ecb920
hex2a63f9e10

11379121680 has 40 divisors (see below), whose sum is σ = 35275277952. Its totient is φ = 3034432384.

The previous prime is 11379121661. The next prime is 11379121681. The reversal of 11379121680 is 8612197311.

11379121680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (11379121681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23706264 + ... + 23706743.

Almost surely, 211379121680 is an apocalyptic number.

11379121680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11379121680 is an abundant number, since it is smaller than the sum of its proper divisors (23896156272).

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

11379121680 is a wasteful number, since it uses less digits than its factorization.

11379121680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47413023 (or 47413017 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The spelling of 11379121680 in words is "eleven billion, three hundred seventy-nine million, one hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 47413007 94826014 142239021 189652028 237065035 284478042 379304056 474130070 568956084 711195105 758608112 948260140 1137912168 1422390210 1896520280 2275824336 2844780420 3793040560 5689560840 11379121680