Search a number
-
+
11954689992 = 233377906541
BaseRepresentation
bin10110010001000111…
…00001011111001000
31010212010212011201000
423020203201133020
5143440400034432
65254130255000
7602151121410
oct131043413710
933763764630
1011954689992
115085124593
122397727460
13118695c07b
148159c5640
1549e7c057c
hex2c88e17c8

11954689992 has 64 divisors (see below), whose sum is σ = 37951401600. Its totient is φ = 3415625280.

The previous prime is 11954689949. The next prime is 11954689993. The reversal of 11954689992 is 29998645911.

11954689992 is a `hidden beast` number, since 1 + 1 + 9 + 546 + 89 + 9 + 9 + 2 = 666.

It is a super-2 number, since 2×119546899922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (11954689993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3951759 + ... + 3954782.

It is an arithmetic number, because the mean of its divisors is an integer number (592990650).

Almost surely, 211954689992 is an apocalyptic number.

11954689992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11954689992 is an abundant number, since it is smaller than the sum of its proper divisors (25996711608).

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

11954689992 is a wasteful number, since it uses less digits than its factorization.

11954689992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7906563 (or 7906553 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 63.

It can be divided in two parts, 119 and 54689992, that added together give a triangular number (54690111 = T10458).

The spelling of 11954689992 in words is "eleven billion, nine hundred fifty-four million, six hundred eighty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 7906541 15813082 23719623 31626164 47439246 55345787 63252328 71158869 94878492 110691574 142317738 166037361 189756984 213476607 221383148 284635476 332074722 426953214 442766296 498112083 569270952 664149444 853906428 996224166 1328298888 1494336249 1707812856 1992448332 2988672498 3984896664 5977344996 11954689992