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85432525776 = 243213214232467
BaseRepresentation
bin100111110010000101…
…1001110001111010000
322011111221100222101100
41033210023032033100
52344431211311101
6103125215304400
76113045326113
oct1174413161720
9264457328340
1085432525776
1133260485104
121468321b100
138096782800
1441c646a57a
1523503b0e86
hex13e42ce3d0

85432525776 has 180 divisors, whose sum is σ = 259185845568. Its totient is φ = 26257810176.

The previous prime is 85432525723. The next prime is 85432525807. The reversal of 85432525776 is 67752523458.

85432525776 is a `hidden beast` number, since 8 + 5 + 43 + 2 + 525 + 7 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34628895 + ... + 34631361.

Almost surely, 285432525776 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 85432525776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129592922784).

85432525776 is an abundant number, since it is smaller than the sum of its proper divisors (173753319792).

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

85432525776 is a wasteful number, since it uses less digits than its factorization.

85432525776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 3908 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 54.

The spelling of 85432525776 in words is "eighty-five billion, four hundred thirty-two million, five hundred twenty-five thousand, seven hundred seventy-six".