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641133630 = 2365312837
BaseRepresentation
bin100110001101101…
…110110000111110
31122200101222000000
4212031232300332
52303112234010
6143341415130
721613355154
oct4615566076
91580358000
10641133630
112a99a3205
1215a86a4a6
13a2a9b417
14612133d4
153b4457c0
hex2636ec3e

641133630 has 112 divisors (see below), whose sum is σ = 1786713984. Its totient is φ = 165395520.

The previous prime is 641133613. The next prime is 641133643. The reversal of 641133630 is 36331146.

641133630 is a `hidden beast` number, since 641 + 13 + 3 + 6 + 3 + 0 = 666.

It is a super-2 number, since 2×6411336302 = 822104663033953800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 641133594 and 641133603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 224572 + ... + 227408.

Almost surely, 2641133630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641133630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893356992).

641133630 is an abundant number, since it is smaller than the sum of its proper divisors (1145580354).

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

641133630 is a wasteful number, since it uses less digits than its factorization.

641133630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 641133630 is about 25320.6166986509. The cubic root of 641133630 is about 862.2823950093.

Adding to 641133630 its reverse (36331146), we get a palindrome (677464776).

The spelling of 641133630 in words is "six hundred forty-one million, one hundred thirty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 243 270 279 310 405 465 486 558 729 810 837 930 1215 1395 1458 1674 2430 2511 2790 2837 3645 4185 5022 5674 7290 7533 8370 8511 12555 14185 15066 17022 22599 25110 25533 28370 37665 42555 45198 51066 75330 76599 85110 87947 112995 127665 153198 175894 225990 229797 255330 263841 382995 439735 459594 527682 689391 765990 791523 879470 1148985 1319205 1378782 1583046 2068173 2297970 2374569 2638410 3446955 3957615 4136346 4749138 6893910 7123707 7915230 10340865 11872845 14247414 20681730 21371121 23745690 35618535 42742242 64113363 71237070 106855605 128226726 213711210 320566815 641133630