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85184482680 = 233451123103919
BaseRepresentation
bin100111101010101100…
…1000000110101111000
322010212122122002020000
41033111121000311320
52343424211421210
6103044435033000
76103644104313
oct1172531006570
9263778562200
1085184482680
1133143468710
121461413b760
138057276a4b
1441a153d97a
152338716ac0
hex13d5640d78

85184482680 has 320 divisors, whose sum is σ = 325926374400. Its totient is φ = 19752733440.

The previous prime is 85184482639. The next prime is 85184482693. The reversal of 85184482680 is 8628448158.

85184482680 is a `hidden beast` number, since 8 + 5 + 1 + 84 + 482 + 6 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 767761 + ... + 871679.

It is an arithmetic number, because the mean of its divisors is an integer number (1018519920).

Almost surely, 285184482680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85184482680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162963187200).

85184482680 is an abundant number, since it is smaller than the sum of its proper divisors (240741891720).

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

85184482680 is a wasteful number, since it uses less digits than its factorization.

85184482680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103976 (or 103963 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 85184482680 in words is "eighty-five billion, one hundred eighty-four million, four hundred eighty-two thousand, six hundred eighty".