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5193397440 = 2632571122129
BaseRepresentation
bin1001101011000110…
…01111010011000000
3111101221021220222100
410311203033103000
541114002204230
62215200310400
7242461102260
oct46543172300
914357256870
105193397440
1122255a0400
12100b312400
13649c4384a
14373a457a0
15205e09660
hex1358cf4c0

5193397440 has 504 divisors, whose sum is σ = 22450165920. Its totient is φ = 1078640640.

The previous prime is 5193397427. The next prime is 5193397483. The reversal of 5193397440 is 447933915.

5193397440 is a `hidden beast` number, since 519 + 3 + 3 + 97 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2438296 + ... + 2440424.

It is an arithmetic number, because the mean of its divisors is an integer number (44543980).

Almost surely, 25193397440 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 5193397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11225082960).

5193397440 is an abundant number, since it is smaller than the sum of its proper divisors (17256768480).

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

5193397440 is a wasteful number, since it uses less digits than its factorization.

5193397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 5193397440 is about 72065.2304513071. The cubic root of 5193397440 is about 1731.7446442640.

The spelling of 5193397440 in words is "five billion, one hundred ninety-three million, three hundred ninety-seven thousand, four hundred forty".