Search a number
-
+
200615206456 = 2374124745343
BaseRepresentation
bin1011101011010110011…
…0010001111000111000
3201011211012220102002201
42322311212101320320
511241324443101311
6232054504035544
720331301055560
oct2726546217070
9634735812081
10200615206456
1178098065995
1232a69762bb4
1315bc1910372
1499d1aa5da0
1553424979c1
hex2eb5991e38

200615206456 has 96 divisors (see below), whose sum is σ = 450015621120. Its totient is φ = 82094411520.

The previous prime is 200615206423. The next prime is 200615206457. The reversal of 200615206456 is 654602516002.

200615206456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2006152064562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200615206457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4401721 + ... + 4447063.

It is an arithmetic number, because the mean of its divisors is an integer number (4687662720).

Almost surely, 2200615206456 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 200615206456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225007810560).

200615206456 is an abundant number, since it is smaller than the sum of its proper divisors (249400414664).

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

200615206456 is a wasteful number, since it uses less digits than its factorization.

200615206456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45485 (or 45440 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 200615206456 in words is "two hundred billion, six hundred fifteen million, two hundred six thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 41 47 56 82 94 164 188 287 328 329 376 574 658 1148 1316 1681 1927 2296 2632 3362 3854 6724 7708 11767 13448 13489 15416 23534 26978 45343 47068 53956 79007 90686 94136 107912 158014 181372 316028 317401 362744 553049 632056 634802 1106098 1269604 1859063 2131121 2212196 2539208 3718126 4262242 4424392 7436252 8524484 13013441 14872504 14917847 17048968 26026882 29835694 52053764 59671388 76221583 87375961 104107528 119342776 152443166 174751922 304886332 349503844 533551081 609772664 611631727 699007688 1067102162 1223263454 2134204324 2446526908 3582414401 4268408648 4893053816 7164828802 14329657604 25076900807 28659315208 50153801614 100307603228 200615206456