Search a number
-
+
16779264054 = 2375915144843
BaseRepresentation
bin11111010000001111…
…10100000000110110
31121022101010221010020
433220013310000312
5233330442422204
611412553510010
71132543251120
oct175007640066
947271127106
1016779264054
117130503483
123303412306
131775358a17
14b52660210
15683123bd9
hex3e81f4036

16779264054 has 64 divisors (see below), whose sum is σ = 39261818880. Its totient is φ = 4681504800.

The previous prime is 16779264053. The next prime is 16779264071. The reversal of 16779264054 is 45046297761.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 16779263988 and 16779264006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16779264053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351757 + ... + 396599.

It is an arithmetic number, because the mean of its divisors is an integer number (613465920).

Almost surely, 216779264054 is an apocalyptic number.

16779264054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16779264054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19630909440).

16779264054 is an abundant number, since it is smaller than the sum of its proper divisors (22482554826).

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

16779264054 is a wasteful number, since it uses less digits than its factorization.

16779264054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45065.

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 16779264054 in words is "sixteen billion, seven hundred seventy-nine million, two hundred sixty-four thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 42 59 118 151 177 302 354 413 453 826 906 1057 1239 2114 2478 3171 6342 8909 17818 26727 44843 53454 62363 89686 124726 134529 187089 269058 313901 374178 627802 941703 1883406 2645737 5291474 6771293 7937211 13542586 15874422 18520159 20313879 37040318 40627758 47399051 55560477 94798102 111120954 142197153 284394306 399506287 799012574 1198518861 2397037722 2796544009 5593088018 8389632027 16779264054