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2142592151 = 75328320407
BaseRepresentation
bin111111110110101…
…0101110010010111
312112022122221212212
41333231111302113
513342000422101
6552335104035
7104044506230
oct17755256227
95468587785
102142592151
119aa48a217
124b967201b
13281b8150b
141647b6087
15c817c1bb
hex7fb55c97

2142592151 has 16 divisors (see below), whose sum is σ = 2503816704. Its totient is φ = 1795401504.

The previous prime is 2142592147. The next prime is 2142592159. The reversal of 2142592151 is 1512952412.

It is a cyclic number.

It is not a de Polignac number, because 2142592151 - 22 = 2142592147 is a prime.

It is a super-2 number, since 2×21425921512 = 9181402251053613602, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142592159) 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, 94790 + ... + 115196.

It is an arithmetic number, because the mean of its divisors is an integer number (156488544).

Almost surely, 22142592151 is an apocalyptic number.

2142592151 is a deficient number, since it is larger than the sum of its proper divisors (361224553).

2142592151 is a wasteful number, since it uses less digits than its factorization.

2142592151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20750.

The product of its digits is 7200, while the sum is 32.

The square root of 2142592151 is about 46288.1426609450. The cubic root of 2142592151 is about 1289.1788438240.

The spelling of 2142592151 in words is "two billion, one hundred forty-two million, five hundred ninety-two thousand, one hundred fifty-one".

Divisors: 1 7 53 283 371 1981 14999 20407 104993 142849 1081571 5775181 7570997 40426267 306084593 2142592151