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5190649920 = 2632531471237
BaseRepresentation
bin1001101010110001…
…10000100001000000
3111101202010100002100
410311120300201000
541112301244140
62215021350400
7242425540101
oct46530604100
914352110070
105190649920
112223a94125
12100a408400
136494c10b1
1437352c3a8
15205a65530
hex135630840

5190649920 has 336 divisors, whose sum is σ = 18836932608. Its totient is φ = 1309962240.

The previous prime is 5190649909. The next prime is 5190649931. The reversal of 5190649920 is 299460915.

5190649920 is a `hidden beast` number, since 51 + 90 + 6 + 499 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (5190649909) and next prime (5190649931).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4195542 + ... + 4196778.

Almost surely, 25190649920 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 5190649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9418466304).

5190649920 is an abundant number, since it is smaller than the sum of its proper divisors (13646282688).

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

5190649920 is a wasteful number, since it uses less digits than its factorization.

5190649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 5190649920 is about 72046.1651998217. The cubic root of 5190649920 is about 1731.4392024405.

The spelling of 5190649920 in words is "five billion, one hundred ninety million, six hundred forty-nine thousand, nine hundred twenty".