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2420194455072 = 25328403452969
BaseRepresentation
bin100011001101111110110…
…101001010111000100000
322120100221111211211102100
4203031332311022320200
5304123024240030242
65051453314250400
7336565450304262
oct43157665127040
98510844754370
102420194455072
11853442748179
12331072286a00
131472b99427c4
14851d0ab5b32
1542e4c75354c
hex2337ed4ae20

2420194455072 has 36 divisors (see below), whose sum is σ = 6882427982430. Its totient is φ = 806731484928.

The previous prime is 2420194455067. The next prime is 2420194455073. The reversal of 2420194455072 is 2705544910242.

2420194455072 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 1 + 94 + 4 + 550 + 7 + 2 = 666.

2420194455072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2417415478416 + 2778976656 = 1554804^2 + 52716^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×24201944550722 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2420194455073) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4201726197 + ... + 4201726772.

Almost surely, 22420194455072 is an apocalyptic number.

It is an amenable number.

2420194455072 is an abundant number, since it is smaller than the sum of its proper divisors (4462233527358).

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

2420194455072 is a wasteful number, since it uses less digits than its factorization.

2420194455072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8403452985 (or 8403452974 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2420194455072 in words is "two trillion, four hundred twenty billion, one hundred ninety-four million, four hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8403452969 16806905938 25210358907 33613811876 50420717814 67227623752 75631076721 100841435628 134455247504 151262153442 201682871256 268910495008 302524306884 403365742512 605048613768 806731485024 1210097227536 2420194455072