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44754248704 = 2101126012
BaseRepresentation
bin101001101011100011…
…111010010000000000
311021112000000101122211
4221223203322100000
51213124041424304
632320530511504
73143023560124
oct515343722000
9137460011584
1044754248704
1117a86674500
128810135594
1342b3028589
142247b7b584
15126e098204
hexa6b8fa400

44754248704 has 99 divisors (see below), whose sum is σ = 98501228553. Its totient is φ = 20308992000.

The previous prime is 44754248699. The next prime is 44754248717. The reversal of 44754248704 is 40784245744.

The square root of 44754248704 is 211552.

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

It can be written as a sum of positive squares in only one way, i.e., 37617378304 + 7136870400 = 193952^2 + 84480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 74466004 + ... + 74466604.

Almost surely, 244754248704 is an apocalyptic number.

44754248704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

44754248704 is the 211552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44754248704

44754248704 is an abundant number, since it is smaller than the sum of its proper divisors (53746979849).

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

44754248704 is an frugal number, since it uses more digits than its factorization.

44754248704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 49.

Multiplying 44754248704 by its sum of digits (49), we get a square (2192958186496 = 14808642).

The spelling of 44754248704 in words is "forty-four billion, seven hundred fifty-four million, two hundred forty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 601 704 968 1024 1202 1408 1936 2404 2816 3872 4808 5632 6611 7744 9616 11264 13222 15488 19232 26444 30976 38464 52888 61952 72721 76928 105776 123904 145442 153856 211552 290884 307712 361201 423104 581768 615424 722402 846208 1163536 1444804 1692416 2327072 2889608 3384832 3973211 4654144 5779216 6769664 7946422 9308288 11558432 15892844 18616576 23116864 31785688 37233152 43705321 46233728 63571376 74466304 87410642 92467456 127142752 174821284 184934912 254285504 349642568 369869824 508571008 699285136 1017142016 1398570272 2034284032 2797140544 4068568064 5594281088 11188562176 22377124352 44754248704