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2141055616 = 277172937131
BaseRepresentation
bin111111110011101…
…1110101010000000
312112012202220011011
41333213132222000
513341102234431
6552242130304
7104025446440
oct17747365200
95465686134
102141055616
119a962a857
124b9050994
1328176401b
141644d6120
15c7e76cb1
hex7f9dea80

2141055616 has 256 divisors, whose sum is σ = 5525625600. Its totient is φ = 805109760.

The previous prime is 2141055593. The next prime is 2141055643. The reversal of 2141055616 is 6165501412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16343871 + ... + 16344001.

It is an arithmetic number, because the mean of its divisors is an integer number (21584475).

Almost surely, 22141055616 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 2141055616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762812800).

2141055616 is an abundant number, since it is smaller than the sum of its proper divisors (3384569984).

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

2141055616 is a wasteful number, since it uses less digits than its factorization.

2141055616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 2141055616 is about 46271.5421830740. The cubic root of 2141055616 is about 1288.8705969307.

The spelling of 2141055616 in words is "two billion, one hundred forty-one million, fifty-five thousand, six hundred sixteen".