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40202055552 = 2731732512411
BaseRepresentation
bin100101011100001110…
…101010111110000000
310211202202021000121110
4211130032222332000
51124313211234202
630245113323320
72622146556021
oct453416527600
9124682230543
1040202055552
11160600153aa
12795b706540
133a38ba9369
141d35366c48
1510a45ea26c
hex95c3aaf80

40202055552 has 128 divisors (see below), whose sum is σ = 107876603520. Its totient is φ = 13264640000.

The previous prime is 40202055529. The next prime is 40202055589. The reversal of 40202055552 is 25555020204.

It is a tau number, because it is divible by the number of its divisors (128).

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, 16673227 + ... + 16675637.

It is an arithmetic number, because the mean of its divisors is an integer number (842785965).

Almost surely, 240202055552 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 40202055552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53938301760).

40202055552 is an abundant number, since it is smaller than the sum of its proper divisors (67674547968).

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

40202055552 is a wasteful number, since it uses less digits than its factorization.

40202055552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

Adding to 40202055552 its reverse (25555020204), we get a palindrome (65757075756).

The spelling of 40202055552 in words is "forty billion, two hundred two million, fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 251 346 384 502 519 692 753 1004 1038 1384 1506 2008 2076 2411 2768 3012 4016 4152 4822 5536 6024 7233 8032 8304 9644 11072 12048 14466 16064 16608 19288 22144 24096 28932 32128 33216 38576 43423 48192 57864 66432 77152 86846 96384 115728 130269 154304 173692 231456 260538 308608 347384 417103 462912 521076 605161 694768 834206 925824 1042152 1210322 1251309 1389536 1668412 1815483 2084304 2420644 2502618 2779072 3336824 3630966 4168608 4841288 5005236 5558144 6673648 7261932 8337216 9682576 10010472 13347296 14523864 16674432 19365152 20020944 26694592 29047728 38730304 40041888 53389184 58095456 77460608 80083776 104692853 116190912 160167552 209385706 232381824 314078559 418771412 628157118 837542824 1256314236 1675085648 2512628472 3350171296 5025256944 6700342592 10050513888 13400685184 20101027776 40202055552