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3714264664 = 2311234342677
BaseRepresentation
bin1101110101100011…
…0010111001011000
3100120212001012020221
43131120302321120
530101322432124
61412321325424
7161020504645
oct33530627130
910525035227
103714264664
111636673020
12877a96874
13472679656
14273414dcc
1516b132ce4
hexdd632e58

3714264664 has 64 divisors (see below), whose sum is σ = 8112234240. Its totient is φ = 1577304960.

The previous prime is 3714264649. The next prime is 3714264667. The reversal of 3714264664 is 4664624173.

It is a happy number.

It is a super-3 number, since 3×37142646643 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 3714264664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3714264667) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 65694 + ... + 108370.

It is an arithmetic number, because the mean of its divisors is an integer number (126753660).

Almost surely, 23714264664 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 3714264664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056117120).

3714264664 is an abundant number, since it is smaller than the sum of its proper divisors (4397969576).

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

3714264664 is a wasteful number, since it uses less digits than its factorization.

3714264664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42760 (or 42756 counting only the distinct ones).

The product of its digits is 580608, while the sum is 43.

The square root of 3714264664 is about 60944.7673225520. The cubic root of 3714264664 is about 1548.6654713676.

The spelling of 3714264664 in words is "three billion, seven hundred fourteen million, two hundred sixty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 23 43 44 46 86 88 92 172 184 253 344 473 506 946 989 1012 1892 1978 2024 3784 3956 7912 10879 21758 42677 43516 85354 87032 170708 341416 469447 938894 981571 1835111 1877788 1963142 3670222 3755576 3926284 7340444 7852568 10797281 14680888 20186221 21594562 40372442 42207553 43189124 80744884 84415106 86378248 161489768 168830212 337660424 464283083 928566166 1857132332 3714264664