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84757841424 = 243480872
BaseRepresentation
bin100111011101111110…
…1100000011000010000
322002202220211110110000
41032323331200120100
52342041001411144
6102534234410000
76060243523254
oct1167375403020
9262686743400
1084757841424
1132a44656833
1214515290900
137cb9a681b9
144160a02264
15231103e769
hex13bbf60610

84757841424 has 75 divisors (see below), whose sum is σ = 245344121407. Its totient is φ = 28249120224.

The previous prime is 84757841411. The next prime is 84757841431. The reversal of 84757841424 is 42414875748.

It is a happy number.

The square root of 84757841424 is 291132.

It is a perfect power (a square), and thus also a powerful number.

84757841424 is a `hidden beast` number, since 8 + 4 + 7 + 578 + 41 + 4 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10476709 + ... + 10484795.

Almost surely, 284757841424 is an apocalyptic number.

84757841424 is the 291132-nd square number.

It is an amenable number.

84757841424 is an abundant number, since it is smaller than the sum of its proper divisors (160586279983).

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

84757841424 is an frugal number, since it uses more digits than its factorization.

84757841424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16194 (or 8092 counting only the distinct ones).

The product of its digits is 8028160, while the sum is 54.

The spelling of 84757841424 in words is "eighty-four billion, seven hundred fifty-seven million, eight hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 8087 16174 24261 32348 48522 64696 72783 97044 129392 145566 194088 218349 291132 388176 436698 582264 655047 873396 1164528 1310094 1746792 2620188 3493584 5240376 10480752 65399569 130799138 196198707 261598276 392397414 523196552 588596121 784794828 1046393104 1177192242 1569589656 1765788363 2354384484 3139179312 3531576726 4708768968 5297365089 7063153452 9417537936 10594730178 14126306904 21189460356 28252613808 42378920712 84757841424