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86156036087040 = 2833523199544667
BaseRepresentation
bin10011100101101111000011…
…111011010001110100000000
3102022001102210021211002012000
4103211233003323101310000
542243040030214241130
6503123311522304000
724101365614361263
oct2345570373216400
9368042707732160
1086156036087040
11254a762a319227
1297b574a1b8000
13390c6301639aa
14173bd8da58cda
159e61b2366260
hex4e5bc3ed1d00

86156036087040 has 576 divisors, whose sum is σ = 320630800896000. Its totient is φ = 21865559924736.

The previous prime is 86156036086663. The next prime is 86156036087047. The reversal of 86156036087040 is 4078063065168.

86156036087040 is a `hidden beast` number, since 8 + 6 + 1 + 560 + 3 + 6 + 0 + 8 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86156036087047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157908787 + ... + 158453453.

It is an arithmetic number, because the mean of its divisors is an integer number (556650696000).

Almost surely, 286156036087040 is an apocalyptic number.

86156036087040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86156036087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160315400448000).

86156036087040 is an abundant number, since it is smaller than the sum of its proper divisors (234474764808960).

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

86156036087040 is a wasteful number, since it uses less digits than its factorization.

86156036087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544919 (or 544899 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 86156036087040 in words is "eighty-six trillion, one hundred fifty-six billion, thirty-six million, eighty-seven thousand, forty".