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87108237216 = 25357111319231
BaseRepresentation
bin101000100100000001…
…1100011011110100000
322022211201111221100000
41101020003203132200
52411344202042331
6104003355500000
76202423541160
oct1211003433640
9268751457300
1087108237216
1133a403689a0
1214a70457600
1382a29a6940
144304c2c5a0
1523ec5680e6
hex14480e37a0

87108237216 has 1728 divisors, whose sum is σ = 375764852736. Its totient is φ = 19147622400.

The previous prime is 87108237211. The next prime is 87108237217. The reversal of 87108237216 is 61273280178.

It is not an unprimeable number, because it can be changed into a prime (87108237211) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2809943121 + ... + 2809943151.

It is an arithmetic number, because the mean of its divisors is an integer number (217456512).

Almost surely, 287108237216 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 87108237216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187882426368).

87108237216 is an abundant number, since it is smaller than the sum of its proper divisors (288656615520).

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

87108237216 is a wasteful number, since it uses less digits than its factorization.

87108237216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 87108237216 in words is "eighty-seven billion, one hundred eight million, two hundred thirty-seven thousand, two hundred sixteen".