Search a number
-
+
677807350734 = 231317097431637
BaseRepresentation
bin10011101110100000111…
…01110110001111001110
32101210112120010000011010
421313100131312033032
542101122140210414
61235214055510050
766653461264113
oct11672035661716
92353476100133
10677807350734
11241502640848
12ab444388326
134bbbc735707
1424b3db3690a
1512970ac2959
hex9dd07763ce

677807350734 has 64 divisors (see below), whose sum is σ = 1370567278080. Its totient is φ = 223456920960.

The previous prime is 677807350697. The next prime is 677807350739. The reversal of 677807350734 is 437053708776.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677807350739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414053764 + ... + 414055400.

It is an arithmetic number, because the mean of its divisors is an integer number (21415113720).

Almost surely, 2677807350734 is an apocalyptic number.

677807350734 is an abundant number, since it is smaller than the sum of its proper divisors (692759927346).

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

677807350734 is a wasteful number, since it uses less digits than its factorization.

677807350734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225.

The product of its (nonzero) digits is 20744640, while the sum is 57.

The spelling of 677807350734 in words is "six hundred seventy-seven billion, eight hundred seven million, three hundred fifty thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 131 262 393 709 743 786 1418 1486 1637 2127 2229 3274 4254 4458 4911 9822 92879 97333 185758 194666 214447 278637 291999 428894 526787 557274 583998 643341 1053574 1160633 1216291 1286682 1580361 2321266 2432582 3160722 3481899 3648873 6963798 7297746 69009097 138018194 152042923 159334121 207027291 304085846 318668242 414054582 456128769 478002363 862350319 912257538 956004726 1724700638 2587050957 5174101914 112967891789 225935783578 338903675367 677807350734