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5772465090 = 23257217372081
BaseRepresentation
bin1010110000001000…
…01101001111000010
3112220021220121110100
411120010031033002
543310222340330
62352443543230
7263022100200
oct53004151702
915807817410
105772465090
1124a2451507
12115122ab16
1370cbc0822
143ca900070
1523bb90060
hex15810d3c2

5772465090 has 288 divisors, whose sum is σ = 18994485744. Its totient is φ = 1207664640.

The previous prime is 5772465079. The next prime is 5772465121. The reversal of 5772465090 is 905642775.

5772465090 is a `hidden beast` number, since 577 + 24 + 6 + 50 + 9 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4235276241 + 1537188849 = 65079^2 + 39207^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2772850 + ... + 2774930.

Almost surely, 25772465090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5772465090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9497242872).

5772465090 is an abundant number, since it is smaller than the sum of its proper divisors (13222020654).

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

5772465090 is a wasteful number, since it uses less digits than its factorization.

5772465090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 5772465090 is about 75976.7404539047. The cubic root of 5772465090 is about 1793.8540482972.

The spelling of 5772465090 in words is "five billion, seven hundred seventy-two million, four hundred sixty-five thousand, ninety".