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41629825920 = 273521682201
BaseRepresentation
bin100110110001010101…
…001011101110000000
310222110020212021100110
4212301111023232000
51140224213412140
631042515351320
73002424452604
oct466125135600
9128406767313
1041629825920
1116722a51411
1280998b2540
133c0592bcb7
14202cc27504
151139b28380
hex9b154bb80

41629825920 has 64 divisors (see below), whose sum is σ = 132695076240. Its totient is φ = 11101286400.

The previous prime is 41629825903. The next prime is 41629825999. The reversal of 41629825920 is 2952892614.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×416298259202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41629825920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10839181 + ... + 10843020.

Almost surely, 241629825920 is an apocalyptic number.

41629825920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41629825920 is an abundant number, since it is smaller than the sum of its proper divisors (91065250320).

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

41629825920 is a wasteful number, since it uses less digits than its factorization.

41629825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21682223 (or 21682211 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 41629825920 in words is "forty-one billion, six hundred twenty-nine million, eight hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 21682201 43364402 65046603 86728804 108411005 130093206 173457608 216822010 260186412 325233015 346915216 433644020 520372824 650466030 693830432 867288040 1040745648 1300932060 1387660864 1734576080 2081491296 2601864120 2775321728 3469152160 4162982592 5203728240 6938304320 8325965184 10407456480 13876608640 20814912960 41629825920