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44348385640896 = 263297793749743
BaseRepresentation
bin10100001010101101010011…
…10001011100000111000000
312211000122221020122222020200
422011112221301130013000
521303100443211002041
6234153211143405200
712225031224121611
oct1205265161340700
9184018836588220
1044348385640896
1113149054597107
124b83020753800
131b9905b66c02c
14ad468aad9c08
1551d90b1421b6
hex2855a9c5c1c0

44348385640896 has 84 divisors (see below), whose sum is σ = 128427121079712. Its totient is φ = 14630395244544.

The previous prime is 44348385640879. The next prime is 44348385640907. The reversal of 44348385640896 is 69804658384344.

44348385640896 is a `hidden beast` number, since 4 + 4 + 3 + 4 + 83 + 8 + 56 + 408 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 396819000 + ... + 396930743.

It is an arithmetic number, because the mean of its divisors is an integer number (1528894298568).

Almost surely, 244348385640896 is an apocalyptic number.

It is an amenable number.

44348385640896 is an abundant number, since it is smaller than the sum of its proper divisors (84078735438816).

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

44348385640896 is a wasteful number, since it uses less digits than its factorization.

44348385640896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793749858 (or 793749845 counting only the distinct ones).

The product of its (nonzero) digits is 1911029760, while the sum is 72.

The spelling of 44348385640896 in words is "forty-four trillion, three hundred forty-eight billion, three hundred eighty-five million, six hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 144 192 194 288 291 388 576 582 776 873 1164 1552 1746 2328 3104 3492 4656 6208 6984 9312 13968 18624 27936 55872 793749743 1587499486 2381249229 3174998972 4762498458 6349997944 7143747687 9524996916 12699995888 14287495374 19049993832 25399991776 28574990748 38099987664 50799983552 57149981496 76199975328 76993725071 114299962992 152399950656 153987450142 228599925984 230981175213 307974900284 457199851968 461962350426 615949800568 692943525639 923924700852 1231899601136 1385887051278 1847849401704 2463799202272 2771774102556 3695698803408 4927598404544 5543548205112 7391397606816 11087096410224 14782795213632 22174192820448 44348385640896