Search a number
-
+
11042779032 = 2333127402551
BaseRepresentation
bin10100100100011001…
…10110111110011000
31001111120221022001000
422102030312332120
5140103422412112
65023433025000
7540436034025
oct122214667630
931446838030
1011042779032
1147573a736a
122182255160
13106ca5509c
1476a84854c
154496de7dc
hex292336f98

11042779032 has 64 divisors (see below), whose sum is σ = 30915993600. Its totient is φ = 3651933600.

The previous prime is 11042779003. The next prime is 11042779087. The reversal of 11042779032 is 23097724011.

11042779032 is a `hidden beast` number, since 110 + 427 + 7 + 90 + 32 = 666.

11042779032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 173844 + ... + 228707.

It is an arithmetic number, because the mean of its divisors is an integer number (483062400).

Almost surely, 211042779032 is an apocalyptic number.

11042779032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11042779032 is an abundant number, since it is smaller than the sum of its proper divisors (19873214568).

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

11042779032 is a wasteful number, since it uses less digits than its factorization.

11042779032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402693 (or 402683 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 11042779032 in words is "eleven billion, forty-two million, seven hundred seventy-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 127 216 254 381 508 762 1016 1143 1524 2286 3048 3429 4572 6858 9144 13716 27432 402551 805102 1207653 1610204 2415306 3220408 3622959 4830612 7245918 9661224 10868877 14491836 21737754 28983672 43475508 51123977 86951016 102247954 153371931 204495908 306743862 408991816 460115793 613487724 920231586 1226975448 1380347379 1840463172 2760694758 3680926344 5521389516 11042779032