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10050397644 = 2237229607971
BaseRepresentation
bin10010101110000110…
…01110010111001100
3221221102121002200210
421113003032113030
5131040400211034
64341142522420
7504025653600
oct112703162714
927842532623
1010050397644
114298207561
121b45a36410
13c42284871
146b4b21500
153dc5158e9
hex2570ce5cc

10050397644 has 144 divisors (see below), whose sum is σ = 28295930880. Its totient is φ = 2765105280.

The previous prime is 10050397633. The next prime is 10050397663. The reversal of 10050397644 is 44679305001.

10050397644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 10350079 + ... + 10351049.

It is an arithmetic number, because the mean of its divisors is an integer number (196499520).

Almost surely, 210050397644 is an apocalyptic number.

10050397644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10050397644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14147965440).

10050397644 is an abundant number, since it is smaller than the sum of its proper divisors (18245533236).

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

10050397644 is a wasteful number, since it uses less digits than its factorization.

10050397644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 10050397644 in words is "ten billion, fifty million, three hundred ninety-seven thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 607 609 812 971 1214 1218 1421 1821 1942 2428 2436 2842 2913 3642 3884 4249 4263 5684 5826 6797 7284 8498 8526 11652 12747 13594 16996 17052 17603 20391 25494 27188 28159 29743 35206 40782 47579 50988 52809 56318 59486 70412 81564 84477 89229 95158 105618 112636 118972 123221 142737 168954 178458 190316 197113 211236 246442 285474 337908 356916 369663 394226 492884 570948 589397 591339 739326 788452 862547 1178794 1182678 1379791 1478652 1725094 1768191 2357588 2365356 2587641 2759582 3450188 3536382 4125779 4139373 5175282 5519164 7072764 8251558 8278746 10350564 12377337 16503116 16557492 17092513 24754674 28880453 34185026 49509348 51277539 57760906 68370052 86641359 102555078 115521812 119647591 173282718 205110156 239295182 346565436 358942773 478590364 717885546 837533137 1435771092 1675066274 2512599411 3350132548 5025198822 10050397644