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2641723614244 = 2211213256832
BaseRepresentation
bin100110011100010010111…
…111110110010000100100
3100100112202021001010012101
4212130102333312100210
5321240222221123434
65341331401101444
7361600242140221
oct46342277662044
910315667033171
102641723614244
11929392124300
12367b97a87884
1316216239ac00
1491c081b2948
1548ab5cecb14
hex26712ff6424

2641723614244 has 81 divisors (see below), whose sum is σ = 5503418120529. Its totient is φ = 1108220461920.

The previous prime is 2641723614239. The next prime is 2641723614251. The reversal of 2641723614244 is 4424163271462.

It is a happy number.

The square root of 2641723614244 is 1625338.

It is a perfect power (a square), and thus also a powerful number.

2641723614244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 390787516900 + 2250936097344 = 625130^2 + 1500312^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2641723614194 and 2641723614203.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 464843827 + ... + 464849509.

Almost surely, 22641723614244 is an apocalyptic number.

2641723614244 is the 1625338-th square number.

It is an amenable number.

2641723614244 is an abundant number, since it is smaller than the sum of its proper divisors (2861694506285).

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

2641723614244 is an equidigital number, since it uses as much as digits as its factorization.

2641723614244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11418 (or 5709 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 46.

The spelling of 2641723614244 in words is "two trillion, six hundred forty-one billion, seven hundred twenty-three million, six hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 484 572 676 1573 1859 3146 3718 5683 6292 7436 11366 20449 22732 40898 62513 73879 81796 125026 147758 250052 295516 687643 812669 960427 1375286 1625338 1920854 2750572 3250676 3841708 8939359 10564697 17878718 21129394 32296489 35757436 42258788 64592978 116211667 129185956 232423334 355261379 419854357 464846668 710522758 839708714 1421045516 1679417428 3907875169 4618397927 5458106641 7815750338 9236795854 10916213282 15631500676 18473591708 21832426564 50802377197 60039173051 101604754394 120078346102 203209508788 240156692204 660430903561 1320861807122 2641723614244