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92105000208 = 2434137697109
BaseRepresentation
bin101010111000111100…
…0101100010100010000
322210201221210210120000
41111301320230110100
53002112340001313
6110151253450000
76440306404254
oct1256170542420
9283657723500
1092105000208
1136074964991
1215a25940900
1388bac71030
14465a6ca264
1525e1080673
hex1571e2c510

92105000208 has 200 divisors, whose sum is σ = 287498395800. Its totient is φ = 28299165696.

The previous prime is 92105000177. The next prime is 92105000231. The reversal of 92105000208 is 80200050129.

It can be written as a sum of positive squares in 4 ways, for example, as 288728064 + 91816272144 = 16992^2 + 303012^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12952558 + ... + 12959666.

It is an arithmetic number, because the mean of its divisors is an integer number (1437491979).

Almost surely, 292105000208 is an apocalyptic number.

92105000208 is the 191943-rd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92105000208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143749197900).

92105000208 is an abundant number, since it is smaller than the sum of its proper divisors (195393395592).

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

92105000208 is a wasteful number, since it uses less digits than its factorization.

92105000208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7911 (or 7896 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 92105000208 in words is "ninety-two billion, one hundred five million, two hundred eight", and thus it is an aban number.