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5193685440 = 263353119391
BaseRepresentation
bin1001101011001000…
…10101100111000000
3111101221211120001000
410311210111213000
541114040413230
62215210412000
7242463412026
oct46544254700
914357746030
105193685440
112225777819
12100b431000
1364a014968
14373abc716
15205e64b60
hex1359159c0

5193685440 has 224 divisors, whose sum is σ = 18914181120. Its totient is φ = 1340236800.

The previous prime is 5193685439. The next prime is 5193685457. The reversal of 5193685440 is 445863915.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258145 + ... + 277535.

Almost surely, 25193685440 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 5193685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9457090560).

5193685440 is an abundant number, since it is smaller than the sum of its proper divisors (13720495680).

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

5193685440 is a wasteful number, since it uses less digits than its factorization.

5193685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19448 (or 19432 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5193685440 is about 72067.2286132886. The cubic root of 5193685440 is about 1731.7766549881.

The spelling of 5193685440 in words is "five billion, one hundred ninety-three million, six hundred eighty-five thousand, four hundred forty".