Search a number
-
+
77809544946 = 234768615119
BaseRepresentation
bin100100001110111001…
…1110110111011110010
321102211200101102120000
41020131303312323302
52233323220414241
655424544330430
75423123135160
oct1103563667362
9242750342500
1077809544946
112aaa9506851
12130b6313a16
137450395b73
143aa1ca4230
152056039eb6
hex121dcf6ef2

77809544946 has 40 divisors (see below), whose sum is σ = 199258308480. Its totient is φ = 22231298232.

The previous prime is 77809544927. The next prime is 77809544947. The reversal of 77809544946 is 64944590877.

77809544946 is a `hidden beast` number, since 7 + 7 + 80 + 9 + 544 + 9 + 4 + 6 = 666.

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 (77809544947) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34306426 + ... + 34308693.

It is an arithmetic number, because the mean of its divisors is an integer number (4981457712).

Almost surely, 277809544946 is an apocalyptic number.

77809544946 is an abundant number, since it is smaller than the sum of its proper divisors (121448763534).

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

77809544946 is a wasteful number, since it uses less digits than its factorization.

77809544946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68615140 (or 68615131 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 77809544946 in words is "seventy-seven billion, eight hundred nine million, five hundred forty-four thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 68615119 137230238 205845357 411690714 480305833 617536071 960611666 1235072142 1440917499 1852608213 2881834998 3705216426 4322752497 5557824639 8645504994 11115649278 12968257491 25936514982 38904772473 77809544946