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22516044512 = 25132912971439
BaseRepresentation
bin10100111110000011…
…111001001011100000
32011010011220120110112
4110332003321023200
5332103101411022
614202124550452
71424653135433
oct247603711340
964104816415
1022516044512
1196047a1555
1244446b2428
13217aa33c80
14113851181a
158bbab58e2
hex53e0f92e0

22516044512 has 96 divisors (see below), whose sum is σ = 49456915200. Its totient is φ = 10018971648.

The previous prime is 22516044479. The next prime is 22516044539. The reversal of 22516044512 is 21544061522.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 15646289 + ... + 15647727.

It is an arithmetic number, because the mean of its divisors is an integer number (515176200).

Almost surely, 222516044512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22516044512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24728457600).

22516044512 is an abundant number, since it is smaller than the sum of its proper divisors (26940870688).

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

22516044512 is a wasteful number, since it uses less digits than its factorization.

22516044512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 22516044512 in words is "twenty-two billion, five hundred sixteen million, forty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1297 1439 1508 2594 2878 3016 5188 5756 6032 10376 11512 12064 16861 18707 20752 23024 33722 37414 37613 41504 41731 46048 67444 74828 75226 83462 134888 149656 150452 166924 269776 299312 300904 333848 488969 539552 542503 598624 601808 667696 977938 1085006 1203616 1335392 1866383 1955876 2170012 3732766 3911752 4340024 7465532 7823504 8680048 14931064 15647008 17360096 24262979 29862128 48525958 54125107 59724256 97051916 108250214 194103832 216500428 388207664 433000856 703626391 776415328 866001712 1407252782 1732003424 2814505564 5629011128 11258022256 22516044512