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2117672452 = 227295349207
BaseRepresentation
bin111111000111001…
…0001111000000100
312110120202220111001
41332032101320010
513314111004302
6550045023044
7103322630110
oct17616217004
95416686431
102117672452
11997409725
124b1254a84
13279967a2c
1416136a740
15c5da8787
hex7e391e04

2117672452 has 48 divisors (see below), whose sum is σ = 4464149760. Its totient is φ = 859727232.

The previous prime is 2117672449. The next prime is 2117672461. The reversal of 2117672452 is 2542767112.

It is a super-2 number, since 2×21176724522 = 8969073227919384608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18433 + ... + 67639.

It is an arithmetic number, because the mean of its divisors is an integer number (93003120).

Almost surely, 22117672452 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 2117672452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232074880).

2117672452 is an abundant number, since it is smaller than the sum of its proper divisors (2346477308).

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

2117672452 is a wasteful number, since it uses less digits than its factorization.

2117672452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49300 (or 49298 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 2117672452 is about 46018.1752354437. The cubic root of 2117672452 is about 1284.1613531890.

The spelling of 2117672452 in words is "two billion, one hundred seventeen million, six hundred seventy-two thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 28 29 53 58 106 116 203 212 371 406 742 812 1484 1537 3074 6148 10759 21518 43036 49207 98414 196828 344449 688898 1377796 1427003 2607971 2854006 5215942 5708012 9989021 10431884 18255797 19978042 36511594 39956084 73023188 75631159 151262318 302524636 529418113 1058836226 2117672452