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673335420084 = 22344150687701
BaseRepresentation
bin10011100110001011110…
…10110010010010110100
32101100222220101101120000
421303011322302102310
542012442331420314
61233154230511300
766434610431325
oct11630572622264
92340886341500
10673335420084
1123a618322098
12aa5b6805530
134b6591091c2
1424837c5644c
15127ad1cb209
hex9cc5eb24b4

673335420084 has 60 divisors (see below), whose sum is σ = 1803164310948. Its totient is φ = 218970864000.

The previous prime is 673335420083. The next prime is 673335420133. The reversal of 673335420084 is 480024533376.

673335420084 is a `hidden beast` number, since 6 + 73 + 33 + 542 + 0 + 0 + 8 + 4 = 666.

673335420084 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 127920675600 + 545414744484 = 357660^2 + 738522^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673335420083) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25330567 + ... + 25357134.

Almost surely, 2673335420084 is an apocalyptic number.

It is an amenable number.

673335420084 is an abundant number, since it is smaller than the sum of its proper divisors (1129828890864).

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

673335420084 is a wasteful number, since it uses less digits than its factorization.

673335420084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50687758 (or 50687747 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 673335420084 in words is "six hundred seventy-three billion, three hundred thirty-five million, four hundred twenty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 2214 3321 4428 6642 13284 50687701 101375402 152063103 202750804 304126206 456189309 608252412 912378618 1368567927 1824757236 2078195741 2737135854 4105703781 4156391482 5474271708 6234587223 8211407562 8312782964 12469174446 16422815124 18703761669 24938348892 37407523338 56111285007 74815046676 112222570014 168333855021 224445140028 336667710042 673335420084