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33928040055 = 35713311634919
BaseRepresentation
bin11111100110010001…
…001100111001110111
310020120111121000100010
4133212101030321313
51023441034240210
623330351351303
72310524403450
oct374621147167
9106514530303
1033928040055
1113430548728
1266aa522533
13327910cb60
1418dbdca127
15d388d7920
hex7e644ce77

33928040055 has 128 divisors (see below), whose sum is σ = 69404590080. Its totient is φ = 13767252480.

The previous prime is 33928040021. The next prime is 33928040059. The reversal of 33928040055 is 55004082933.

It is not a de Polignac number, because 33928040055 - 211 = 33928038007 is a prime.

It is a super-2 number, since 2×339280400552 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 33928039995 and 33928040022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33928040059) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6894886 + ... + 6899804.

It is an arithmetic number, because the mean of its divisors is an integer number (542223360).

Almost surely, 233928040055 is an apocalyptic number.

33928040055 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

33928040055 is an abundant number, since it is smaller than the sum of its proper divisors (35476550025).

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

33928040055 is a wasteful number, since it uses less digits than its factorization.

33928040055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141.

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 33928040055 in words is "thirty-three billion, nine hundred twenty-eight million, forty thousand, fifty-five".

Divisors: 1 3 5 7 13 15 21 31 35 39 65 91 93 105 155 163 195 217 273 403 455 465 489 651 815 1085 1141 1209 1365 2015 2119 2445 2821 3255 3423 4919 5053 5705 6045 6357 8463 10595 14105 14757 14833 15159 17115 24595 25265 31785 34433 35371 42315 44499 63947 65689 73785 74165 75795 103299 106113 152489 172165 176855 191841 197067 222495 319735 328445 447629 457467 459823 516495 530565 762445 801797 959205 985335 1067423 1342887 1379469 1982357 2238145 2287335 2299115 2405391 3202269 4008985 5337115 5612579 5947071 6714435 6897345 9911785 10423361 12026955 13876499 16011345 16837737 24855707 28062895 29735355 31270083 41629497 52116805 69382495 72963527 74567121 84188685 124278535 156350415 173989949 208147485 218890581 323124191 364817635 372835605 521969847 869949745 969372573 1094452905 1615620955 2261869337 2609849235 4846862865 6785608011 11309346685 33928040055