Search a number
-
+
645245335314 = 23519691110111
BaseRepresentation
bin10010110001110111001…
…11100111011100010010
32021200111020221020100000
421120323213213130102
541032430301212224
61212231022510430
764421531566416
oct11307347473422
92250436836300
10645245335314
112297131966a8
12a5077435416
1348b00639a78
1423331336d46
1511bb70bd0c9
hex963b9e7712

645245335314 has 96 divisors (see below), whose sum is σ = 1526488104960. Its totient is φ = 203712051600.

The previous prime is 645245335313. The next prime is 645245335373. The reversal of 645245335314 is 413533542546.

645245335314 is a `hidden beast` number, since 6 + 4 + 52 + 4 + 533 + 53 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 645245335314.

It is not an unprimeable number, because it can be changed into a prime (645245335313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63811119 + ... + 63821229.

It is an arithmetic number, because the mean of its divisors is an integer number (15900917760).

Almost surely, 2645245335314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645245335314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763244052480).

645245335314 is an abundant number, since it is smaller than the sum of its proper divisors (881242769646).

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

645245335314 is a wasteful number, since it uses less digits than its factorization.

645245335314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17058 (or 17046 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 45.

The spelling of 645245335314 in words is "six hundred forty-five billion, two hundred forty-five million, three hundred thirty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1539 3078 4617 6911 9234 10111 13822 20222 20733 30333 41466 60666 62199 90999 124398 131309 181998 186597 192109 262618 272997 373194 384218 393927 545994 559791 576327 787854 818991 1119582 1152654 1181781 1637982 1679373 1728981 2363562 2456973 3358746 3457962 3545343 4913946 5186943 7090686 10373886 10636029 15560829 21272058 31121658 31908087 46682487 63816174 69877121 93364974 139754242 209631363 419262726 628894089 1257788178 1327665299 1886682267 2655330598 3773364534 3982995897 5660046801 7965991794 11320093602 11948987691 16980140403 23897975382 33960280806 35846963073 71693926146 107540889219 215081778438 322622667657 645245335314