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5210413632 = 26329045857
BaseRepresentation
bin1001101101001000…
…01001101001000000
3111110010022102210200
410312210021221000
541132331214012
62221005125200
7243055533204
oct46644115100
914403272720
105210413632
112234162976
121014b59800
13650620ab8
14375dd4b04
1520766b3dc
hex136909a40

5210413632 has 42 divisors (see below), whose sum is σ = 14934711558. Its totient is φ = 1736804352.

The previous prime is 5210413613. The next prime is 5210413639. The reversal of 5210413632 is 2363140125.

5210413632 is a `hidden beast` number, since 5 + 2 + 10 + 4 + 13 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3801462336 + 1408951296 = 61656^2 + 37536^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5210413596 and 5210413605.

It is not an unprimeable number, because it can be changed into a prime (5210413639) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4522353 + ... + 4523504.

Almost surely, 25210413632 is an apocalyptic number.

It is an amenable number.

5210413632 is an abundant number, since it is smaller than the sum of its proper divisors (9724297926).

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

5210413632 is a wasteful number, since it uses less digits than its factorization.

5210413632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9045875 (or 9045862 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5210413632 is about 72183.1949417591. The cubic root of 5210413632 is about 1733.6339389226.

Adding to 5210413632 its reverse (2363140125), we get a palindrome (7573553757).

The spelling of 5210413632 in words is "five billion, two hundred ten million, four hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 9045857 18091714 27137571 36183428 54275142 72366856 81412713 108550284 144733712 162825426 217100568 289467424 325650852 434201136 578934848 651301704 868402272 1302603408 1736804544 2605206816 5210413632