Search a number
-
+
77908830534 = 23423124916741
BaseRepresentation
bin100100010001110111…
…0100110100101000110
321110002121012122210000
41020203232212211012
52234024130034114
655442452342130
75425440063423
oct1104356464506
9243077178700
1077908830534
113004a55a557
1213123614946
137467b19432
143ab114ad4a
15205eaece09
hex1223ba6946

77908830534 has 80 divisors (see below), whose sum is σ = 182320380000. Its totient is φ = 24819125760.

The previous prime is 77908830491. The next prime is 77908830541. The reversal of 77908830534 is 43503880977.

77908830534 is a `hidden beast` number, since 7 + 79 + 0 + 8 + 8 + 30 + 534 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 4645404 + ... + 4662144.

It is an arithmetic number, because the mean of its divisors is an integer number (2279004750).

Almost surely, 277908830534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77908830534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91160190000).

77908830534 is an abundant number, since it is smaller than the sum of its proper divisors (104411549466).

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

77908830534 is a wasteful number, since it uses less digits than its factorization.

77908830534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18027 (or 18018 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 77908830534 in words is "seventy-seven billion, nine hundred eight million, eight hundred thirty thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1242 1249 1863 2498 3726 3747 7494 11241 16741 22482 28727 33482 33723 50223 57454 67446 86181 100446 101169 150669 172362 202338 258543 301338 385043 452007 517086 770086 775629 904014 1155129 1356021 1551258 2310258 2326887 2712042 3465387 4653774 6930774 10396161 20792322 20909509 31188483 41819018 62376966 62728527 125457054 188185581 376371162 480918707 564556743 961837414 1129113486 1442756121 1693670229 2885512242 3387340458 4328268363 8656536726 12984805089 25969610178 38954415267 77908830534