Search a number
-
+
318203233188864 = 2103539319206709
BaseRepresentation
bin100100001011001110111011…
…0101011100011110000000000
31112201122221011102122221100220
41020112131312223203300000
5313201420210144020424
63044432314113543040
7124011265516560342
oct11026356653436000
91481587142587326
10318203233188864
1192431262659591
122b831b02b74a80
131087258926275a
14588119386d292
1526bc2e2943579
hex1216776ae3c00

318203233188864 has 88 divisors (see below), whose sum is σ = 848284936743120. Its totient is φ = 106048071204864.

The previous prime is 318203233188839. The next prime is 318203233188937. The reversal of 318203233188864 is 468881332302813.

It is a super-2 number, since 2×3182032331888642 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 318203233188798 and 318203233188807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6963942 + ... + 26170650.

Almost surely, 2318203233188864 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 318203233188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424142468371560).

318203233188864 is an abundant number, since it is smaller than the sum of its proper divisors (530081703554256).

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

318203233188864 is a wasteful number, since it uses less digits than its factorization.

318203233188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19212125 (or 19212107 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 60.

The spelling of 318203233188864 in words is "three hundred eighteen trillion, two hundred three billion, two hundred thirty-three million, one hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 5393 10786 16179 21572 32358 43144 64716 86288 129432 172576 258864 345152 517728 690304 1035456 1380608 2070912 2761216 4141824 5522432 8283648 16567296 19206709 38413418 57620127 76826836 115240254 153653672 230480508 307307344 460961016 614614688 921922032 1229229376 1843844064 2458458752 3687688128 4916917504 7375376256 9833835008 14750752512 19667670016 29501505024 59003010048 103581781637 207163563274 310745344911 414327126548 621490689822 828654253096 1242981379644 1657308506192 2485962759288 3314617012384 4971925518576 6629234024768 9943851037152 13258468049536 19887702074304 26516936099072 39775404148608 53033872198144 79550808297216 106067744396288 159101616594432 318203233188864