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87016614288 = 24323191412667
BaseRepresentation
bin101000100001010011…
…0000010100110010000
322022121100010000022020
41101002212002212100
52411202223124123
6103550324011440
76200232006012
oct1210246024620
9268540100266
1087016614288
11339a367926a
1214a45830b80
138289a070a6
1442d69bc1b2
1523e44ba7e3
hex1442982990

87016614288 has 80 divisors (see below), whose sum is σ = 235795193856. Its totient is φ = 27599102080.

The previous prime is 87016614281. The next prime is 87016614313. The reversal of 87016614288 is 88241661078.

It is a super-3 number, since 3×870166142883 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87016614288.

It is not an unprimeable number, because it can be changed into a prime (87016614281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4531 + ... + 417197.

Almost surely, 287016614288 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 87016614288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117897596928).

87016614288 is an abundant number, since it is smaller than the sum of its proper divisors (148778579568).

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

87016614288 is a wasteful number, since it uses less digits than its factorization.

87016614288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412892 (or 412886 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 87016614288 in words is "eighty-seven billion, sixteen million, six hundred fourteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 191 276 368 382 552 573 764 1104 1146 1528 2292 3056 4393 4584 8786 9168 13179 17572 26358 35144 52716 70288 105432 210864 412667 825334 1238001 1650668 2476002 3301336 4952004 6602672 9491341 9904008 18982682 19808016 28474023 37965364 56948046 75930728 78819397 113896092 151861456 157638794 227792184 236458191 315277588 455584368 472916382 630555176 945832764 1261110352 1812846131 1891665528 3625692262 3783331056 5438538393 7251384524 10877076786 14502769048 21754153572 29005538096 43508307144 87016614288