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671116768 = 25731127761
BaseRepresentation
bin101000000000000…
…110110111100000
31201202211021010121
4220000012313200
52333301214033
6150332210024
722426253440
oct5000066740
91652737117
10671116768
11314911a63
12168909914
13a906881a
14651ba120
153ddb962d
hex28006de0

671116768 has 96 divisors (see below), whose sum is σ = 1573060608. Its totient is φ = 275788800.

The previous prime is 671116763. The next prime is 671116783. The reversal of 671116768 is 867611176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671116763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881508 + ... + 882268.

It is an arithmetic number, because the mean of its divisors is an integer number (16386048).

Almost surely, 2671116768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671116768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786530304).

671116768 is an abundant number, since it is smaller than the sum of its proper divisors (901943840).

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

671116768 is a wasteful number, since it uses less digits than its factorization.

671116768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 928 counting only the distinct ones).

The product of its digits is 84672, while the sum is 43.

The square root of 671116768 is about 25905.9214852512. The cubic root of 671116768 is about 875.5199165332.

The spelling of 671116768 in words is "six hundred seventy-one million, one hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 127 217 224 248 254 434 496 508 761 868 889 992 1016 1522 1736 1778 2032 3044 3472 3556 3937 4064 5327 6088 6944 7112 7874 10654 12176 14224 15748 21308 23591 24352 27559 28448 31496 42616 47182 55118 62992 85232 94364 96647 110236 125984 165137 170464 188728 193294 220472 330274 377456 386588 440944 660548 676529 754912 773176 881888 1321096 1353058 1546352 2642192 2706116 2996057 3092704 5284384 5412232 5992114 10824464 11984228 20972399 21648928 23968456 41944798 47936912 83889596 95873824 167779192 335558384 671116768