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5353757640 = 23335721117541
BaseRepresentation
bin1001111110001101…
…11101101111001000
3111211010001001211000
410333012331233020
541431030221030
62243125335000
7246446121600
oct47706755710
914733031730
105353757640
1122a80693a0
121054b67460
1367422c23a
1438b069c00
15215033860
hex13f1bdbc8

5353757640 has 768 divisors, whose sum is σ = 24023174400. Its totient is φ = 1045094400.

The previous prime is 5353757611. The next prime is 5353757663. The reversal of 5353757640 is 467573535.

5353757640 is a `hidden beast` number, since 5 + 3 + 5 + 37 + 576 + 40 = 666.

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 191 ways as a sum of consecutive naturals, for example, 9895770 + ... + 9896310.

It is an arithmetic number, because the mean of its divisors is an integer number (31280175).

Almost surely, 25353757640 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 5353757640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12011587200).

5353757640 is an abundant number, since it is smaller than the sum of its proper divisors (18669416760).

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

5353757640 is a wasteful number, since it uses less digits than its factorization.

5353757640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The square root of 5353757640 is about 73169.3763811063. The cubic root of 5353757640 is about 1749.3883729272.

The spelling of 5353757640 in words is "five billion, three hundred fifty-three million, seven hundred fifty-seven thousand, six hundred forty".