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85808878974 = 232713231612131
BaseRepresentation
bin100111111101010011…
…0111001010101111110
322012111011112200220200
41033322212321111332
52401214033111344
6103230422024330
76125265302550
oct1177246712576
9265434480820
1085808878974
1133433969905
12147692780a6
138126734b00
1442204374d0
152373453069
hex13fa9b957e

85808878974 has 288 divisors, whose sum is σ = 241509685248. Its totient is φ = 21531744000.

The previous prime is 85808878931. The next prime is 85808878999. The reversal of 85808878974 is 47987880858.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40265889 + ... + 40268019.

It is an arithmetic number, because the mean of its divisors is an integer number (838575296).

Almost surely, 285808878974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85808878974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120754842624).

85808878974 is an abundant number, since it is smaller than the sum of its proper divisors (155700806274).

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

85808878974 is a wasteful number, since it uses less digits than its factorization.

85808878974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 289013760, while the sum is 72.

The spelling of 85808878974 in words is "eighty-five billion, eight hundred eight million, eight hundred seventy-eight thousand, nine hundred seventy-four".