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2138480981 = 72133357113
BaseRepresentation
bin111111101110110…
…1010000101010101
312112000221002102022
41333131222011111
513334422342411
6552111022525
7103664534300
oct17735520525
95460832368
102138480981
119a813145a
124b820aa45
13281072180
14164025b37
15c7b18edb
hex7f76a155

2138480981 has 12 divisors (see below), whose sum is σ = 2678976972. Its totient is φ = 1691984448.

The previous prime is 2138480977. The next prime is 2138480987. The reversal of 2138480981 is 1890848312.

It can be written as a sum of positive squares in 2 ways, for example, as 429898756 + 1708582225 = 20734^2 + 41335^2 .

It is not a de Polignac number, because 2138480981 - 22 = 2138480977 is a prime.

It is a super-2 number, since 2×21384809812 = 9146201812197444722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138480987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1677920 + ... + 1679193.

It is an arithmetic number, because the mean of its divisors is an integer number (223248081).

Almost surely, 22138480981 is an apocalyptic number.

It is an amenable number.

2138480981 is a deficient number, since it is larger than the sum of its proper divisors (540495991).

2138480981 is a wasteful number, since it uses less digits than its factorization.

2138480981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357140 (or 3357133 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 2138480981 is about 46243.7128807798. The cubic root of 2138480981 is about 1288.3537642780.

The spelling of 2138480981 in words is "two billion, one hundred thirty-eight million, four hundred eighty thousand, nine hundred eighty-one".

Divisors: 1 7 13 49 91 637 3357113 23499791 43642469 164498537 305497283 2138480981