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643777134 = 2371113372897
BaseRepresentation
bin100110010111110…
…100001001101110
31122212101021012120
4212113310021232
52304301332014
6143514213410
721645005160
oct4627641156
91585337176
10643777134
11300439320
1215b724266
13a34b5720
1461700930
153b7b8ba9
hex265f426e

643777134 has 128 divisors (see below), whose sum is σ = 1776079872. Its totient is φ = 150128640.

The previous prime is 643777129. The next prime is 643777193. The reversal of 643777134 is 431777346.

It is a super-2 number, since 2×6437771342 = 828897996522507912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220774 + ... + 223670.

It is an arithmetic number, because the mean of its divisors is an integer number (13875624).

Almost surely, 2643777134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643777134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888039936).

643777134 is an abundant number, since it is smaller than the sum of its proper divisors (1132302738).

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

643777134 is a wasteful number, since it uses less digits than its factorization.

643777134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970.

The product of its digits is 296352, while the sum is 42.

The square root of 643777134 is about 25372.7636255888. The cubic root of 643777134 is about 863.4658826943.

It can be divided in two parts, 643 and 777134, that added together give a palindrome (777777).

The spelling of 643777134 in words is "six hundred forty-three million, seven hundred seventy-seven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 2897 3003 3367 5291 5698 5794 6006 6734 8547 8691 10101 10582 15873 17094 17382 20202 20279 31746 31867 37037 37661 40558 60837 63734 74074 75322 95601 107189 111111 112983 121674 191202 214378 222222 223069 225966 263627 321567 414271 446138 527254 643134 669207 750323 790881 828542 1179079 1242813 1338414 1393457 1500646 1581762 2250969 2358158 2485626 2786914 2899897 3537237 4180371 4501938 5799794 7074474 8253553 8360742 8699691 9754199 15328027 16507106 17399382 19508398 24760659 29262597 30656054 45984081 49521318 58525194 91968162 107296189 214592378 321888567 643777134