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2119902464 = 2822936161
BaseRepresentation
bin111111001011011…
…0010010100000000
312110201222012111002
41332112302110000
513320143334324
6550204511132
7103350605441
oct17626622400
95421865432
102119902464
119986a2109
124b1b4b4a8
1327a268a74
1416178b2c8
15c61993ae
hex7e5b2500

2119902464 has 36 divisors (see below), whose sum is σ = 4250119860. Its totient is φ = 1055293440.

The previous prime is 2119902443. The next prime is 2119902469. The reversal of 2119902464 is 4642099112.

It can be written as a sum of positive squares in 2 ways, for example, as 1848312064 + 271590400 = 42992^2 + 16480^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119902469) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40544 + ... + 76704.

It is an arithmetic number, because the mean of its divisors is an integer number (118058885).

Almost surely, 22119902464 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 2119902464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125059930).

2119902464 is an abundant number, since it is smaller than the sum of its proper divisors (2130217396).

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

2119902464 is an equidigital number, since it uses as much as digits as its factorization.

2119902464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36406 (or 36392 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 2119902464 is about 46042.3985474258. The cubic root of 2119902464 is about 1284.6119564931.

The spelling of 2119902464 in words is "two billion, one hundred nineteen million, nine hundred two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 229 256 458 916 1832 3664 7328 14656 29312 36161 58624 72322 144644 289288 578576 1157152 2314304 4628608 8280869 9257216 16561738 33123476 66246952 132493904 264987808 529975616 1059951232 2119902464