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11864701981 = 1119117148479
BaseRepresentation
bin10110000110011000…
…01111110000011101
31010121212112022100201
423003030033300131
5143244330430411
65241153423501
7600006205606
oct130314176035
933555468321
1011864701981
115039351230
12237156ab91
131171112722
14807a7cdad
154969473c1
hex2c330fc1d

11864701981 has 16 divisors (see below), whose sum is σ = 13636454400. Its totient is φ = 10209466800.

The previous prime is 11864701969. The next prime is 11864702039. The reversal of 11864701981 is 18910746811.

11864701981 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11864701981 - 29 = 11864701469 is a prime.

It is a super-3 number, since 3×118647019813 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11864701921) 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 15 ways as a sum of consecutive naturals, for example, 220500 + ... + 268978.

It is an arithmetic number, because the mean of its divisors is an integer number (852278400).

Almost surely, 211864701981 is an apocalyptic number.

11864701981 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11864701981 is a deficient number, since it is larger than the sum of its proper divisors (1771752419).

11864701981 is a wasteful number, since it uses less digits than its factorization.

11864701981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49680.

The product of its (nonzero) digits is 96768, while the sum is 46.

The spelling of 11864701981 in words is "eleven billion, eight hundred sixty-four million, seven hundred one thousand, nine hundred eighty-one".

Divisors: 1 11 19 209 1171 12881 22249 48479 244739 533269 921101 10132111 56768909 624457999 1078609271 11864701981