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87697014355332 = 22344379607131267
BaseRepresentation
bin10011111100001010001101…
…011000110111010110000100
3102111111202022201021221020000
4103330022031120313112010
542443311441133332312
6510303241402441300
724320620524500634
oct2374121530672604
9374452281257200
1087697014355332
1125a41105390048
129a04328803230
1339c1a401cb315
1417927b57846c4
15a21302034adc
hex4fc28d637584

87697014355332 has 240 divisors, whose sum is σ = 237951540879360. Its totient is φ = 28144434322368.

The previous prime is 87697014355331. The next prime is 87697014355337. The reversal of 87697014355332 is 23355341079678.

87697014355332 is a `hidden beast` number, since 8 + 7 + 6 + 9 + 7 + 0 + 1 + 43 + 553 + 32 = 666.

87697014355332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 87697014355332.

It is not an unprimeable number, because it can be changed into a prime (87697014355331) 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 79 ways as a sum of consecutive naturals, for example, 668015563 + ... + 668146829.

It is an arithmetic number, because the mean of its divisors is an integer number (991464753664).

It is a 2-persistent number, because it is pandigital, and so is 2⋅87697014355332 = 175394028710664, but 3⋅87697014355332 = 263091043065996 is not.

Almost surely, 287697014355332 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 87697014355332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118975770439680).

87697014355332 is an abundant number, since it is smaller than the sum of its proper divisors (150254526524028).

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

87697014355332 is a wasteful number, since it uses less digits than its factorization.

87697014355332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132012 (or 132001 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 87697014355332 in words is "eighty-seven trillion, six hundred ninety-seven billion, fourteen million, three hundred fifty-five thousand, three hundred thirty-two".