Search a number
-
+
645122323134 = 2322310125436067
BaseRepresentation
bin10010110001101000100…
…10010111001010111110
32021200011200110120100100
421120310102113022332
541032202303320014
61212210510141530
764415506161342
oct11306422271276
92250150416310
10645122323134
1122965a807843
12a50421b18a6
1348ab0cc9ab3
142331cc75622
1511bab3c0009
hex96344972be

645122323134 has 96 divisors (see below), whose sum is σ = 1473800500224. Its totient is φ = 203540990400.

The previous prime is 645122323123. The next prime is 645122323159. The reversal of 645122323134 is 431323221546.

645122323134 is a `hidden beast` number, since 6 + 4 + 512 + 2 + 3 + 2 + 3 + 134 = 666.

645122323134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6451223231342 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106329969 + ... + 106336035.

It is an arithmetic number, because the mean of its divisors is an integer number (15352088544).

Almost surely, 2645122323134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645122323134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736900250112).

645122323134 is an abundant number, since it is smaller than the sum of its proper divisors (828678177090).

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

645122323134 is a wasteful number, since it uses less digits than its factorization.

645122323134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8742 (or 8739 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

It can be divided in two parts, 645122 and 323134, that added together give a square (968256 = 9842).

The spelling of 645122323134 in words is "six hundred forty-five billion, one hundred twenty-two million, three hundred twenty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 101 138 202 207 303 414 606 909 1818 2323 2543 4646 5086 6067 6969 7629 12134 13938 15258 18201 20907 22887 36402 41814 45774 54603 58489 109206 116978 139541 175467 256843 279082 350934 418623 513686 526401 612767 770529 837246 1052802 1225534 1255869 1541058 1838301 2311587 2511738 3676602 4623174 5514903 5907389 11029806 11814778 14093641 15428381 17722167 28187282 30856762 35444334 42280923 46285143 53166501 84561846 92570286 106333002 126842769 138855429 253685538 277710858 354852763 709705526 1064558289 1558266481 2129116578 3116532962 3193674867 4674799443 6387349734 9349598886 14024398329 28048796658 35840129063 71680258126 107520387189 215040774378 322561161567 645122323134