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2320642306632 = 2331359916077727
BaseRepresentation
bin100001110001010001000…
…011110111001001001000
322012211222112220201000110
4201301101003313021020
5301010133412303012
64534031030234320
7326442452066406
oct41612103671110
98184875821013
102320642306632
118151a70a0631
1231590a4b59a0
1313aab2b59bb0
1480469314476
15405729d073c
hex21c510f7248

2320642306632 has 128 divisors (see below), whose sum is σ = 6263018496000. Its totient is φ = 712315938048.

The previous prime is 2320642306613. The next prime is 2320642306667. The reversal of 2320642306632 is 2366032460232.

It is a happy number.

It is a super-2 number, since 2×23206423066322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 300325153 + ... + 300332879.

It is an arithmetic number, because the mean of its divisors is an integer number (48929832000).

Almost surely, 22320642306632 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 2320642306632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131509248000).

2320642306632 is an abundant number, since it is smaller than the sum of its proper divisors (3942376189368).

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

2320642306632 is a wasteful number, since it uses less digits than its factorization.

2320642306632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9955 (or 9951 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 39.

Adding to 2320642306632 its reverse (2366032460232), we get a palindrome (4686674766864).

The spelling of 2320642306632 in words is "two trillion, three hundred twenty billion, six hundred forty-two million, three hundred six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 599 1198 1607 1797 2396 3214 3594 4792 4821 6428 7188 7727 7787 9642 12856 14376 15454 15574 19284 20891 23181 23361 30908 31148 38568 41782 46362 46722 61816 62296 62673 83564 92724 93444 100451 125346 167128 185448 186888 200902 250692 301353 401804 501384 602706 803608 962593 1205412 1925186 2410824 2887779 3850372 4628473 5775558 7700744 9256946 11551116 12417289 12513709 13885419 18513892 23102232 24834578 25027418 27770838 37027784 37251867 37541127 49669156 50054836 55541676 60170149 74503734 75082254 99338312 100109672 111083352 120340298 149007468 150164508 161424757 180510447 240680596 298014936 300329016 322849514 361020894 481361192 484274271 645699028 722041788 968548542 1291398056 1444083576 1937097084 3874194168 7437956111 14875912222 22313868333 29751824444 44627736666 59503648888 89255473332 96693429443 178510946664 193386858886 290080288329 386773717772 580160576658 773547435544 1160321153316 2320642306632