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90474783168 = 2637116119777
BaseRepresentation
bin101010001000010110…
…1111010000111000000
322122112100021012012010
41110100231322013000
52440243021030133
6105321420332520
76352022653020
oct1242055720700
9278470235163
1090474783168
1135408724780
121564b9a4140
1386bb2b8573
144543daba80
152547db3263
hex1510b7a1c0

90474783168 has 112 divisors (see below), whose sum is σ = 298449333504. Its totient is φ = 23499939840.

The previous prime is 90474783151. The next prime is 90474783169. The reversal of 90474783168 is 86138747409.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×904747831682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90474783169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3045105 + ... + 3074672.

It is an arithmetic number, because the mean of its divisors is an integer number (2664726192).

Almost surely, 290474783168 is an apocalyptic number.

It is an amenable number.

90474783168 is an abundant number, since it is smaller than the sum of its proper divisors (207974550336).

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

90474783168 is a wasteful number, since it uses less digits than its factorization.

90474783168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119810 (or 6119800 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 90474783168 in words is "ninety billion, four hundred seventy-four million, seven hundred eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 14784 6119777 12239554 18359331 24479108 36718662 42838439 48958216 67317547 73437324 85676878 97916432 128515317 134635094 146874648 171353756 195832864 201952641 257030634 269270188 293749296 342707512 391665728 403905282 471222829 514061268 538540376 587498592 685415024 807810564 942445658 1028122536 1077080752 1174997184 1370830048 1413668487 1615621128 1884891316 2056245072 2154161504 2741660096 2827336974 3231242256 3769782632 4112490144 4308323008 5654673948 6462484512 7539565264 8224980288 11309347896 12924969024 15079130528 22618695792 30158261056 45237391584 90474783168