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10441621505644 = 2274310318411681
BaseRepresentation
bin1001011111110010000100…
…1001000000011001101100
31100222012122120000011220021
42113330201021000121230
52332033420101140034
634112451550331524
72125245054245650
oct227744111003154
940865576004807
1010441621505644
1133662a314466a
1212077a5ab9ba4
135a98437716c4
1428153cd90a60
1513192586e6b4
hex97f2124066c

10441621505644 has 48 divisors (see below), whose sum is σ = 21389628750336. Its totient is φ = 4366671321600.

The previous prime is 10441621505641. The next prime is 10441621505663. The reversal of 10441621505644 is 44650512614401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 10441621505644.

It is not an unprimeable number, because it can be changed into a prime (10441621505641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2964517 + ... + 5447164.

It is an arithmetic number, because the mean of its divisors is an integer number (445617265632).

Almost surely, 210441621505644 is an apocalyptic number.

10441621505644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10441621505644 is an abundant number, since it is smaller than the sum of its proper divisors (10948007244692).

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

10441621505644 is a wasteful number, since it uses less digits than its factorization.

10441621505644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8412766 (or 8412764 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 10441621505644 in words is "ten trillion, four hundred forty-one billion, six hundred twenty-one million, five hundred five thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 43 86 172 301 602 1031 1204 2062 4124 7217 14434 28868 44333 88666 177332 310331 620662 1241324 8411681 16823362 33646724 58881767 117763534 235527068 361702283 723404566 1446809132 2531915981 5063831962 8672443111 10127663924 17344886222 34689772444 60707101777 121414203554 242828407108 372915053773 745830107546 1491660215092 2610405376411 5220810752822 10441621505644