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87669422280 = 2333511217193167
BaseRepresentation
bin101000110100110000…
…0010011100011001000
322101021211111002112000
41101221200103203020
52414021333003110
6104135203551000
76222346536216
oct1215140234310
9271254432460
1087669422280
11341a9115600
1214ba838b460
1383620321cb
14435958dcb6
15243196a1c0
hex14698138c8

87669422280 has 1536 divisors, whose sum is σ = 375072768000. Its totient is φ = 18065203200.

The previous prime is 87669422273. The next prime is 87669422303. The reversal of 87669422280 is 8222496678.

87669422280 is a `hidden beast` number, since 87 + 6 + 69 + 422 + 2 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1308498807 + ... + 1308498873.

It is an arithmetic number, because the mean of its divisors is an integer number (244188000).

Almost surely, 287669422280 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 87669422280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187536384000).

87669422280 is an abundant number, since it is smaller than the sum of its proper divisors (287403345720).

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

87669422280 is a wasteful number, since it uses less digits than its factorization.

87669422280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 87669422280 in words is "eighty-seven billion, six hundred sixty-nine million, four hundred twenty-two thousand, two hundred eighty".