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5174376768 = 2633111767239
BaseRepresentation
bin1001101000110101…
…01011100101000000
3111100121111120112000
410310122223211000
541044120024033
62213240504000
7242140322361
oct46432534500
914317446460
105174376768
112215889940
121004a7b000
13646014102
143712d3b68
152043eda13
hex1346ab940

5174376768 has 448 divisors, whose sum is σ = 17907609600. Its totient is φ = 1447649280.

The previous prime is 5174376743. The next prime is 5174376773. The reversal of 5174376768 is 8676734715.

5174376768 is a `hidden beast` number, since 517 + 4 + 3 + 7 + 67 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21649993 + ... + 21650231.

Almost surely, 25174376768 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 5174376768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8953804800).

5174376768 is an abundant number, since it is smaller than the sum of its proper divisors (12733232832).

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

5174376768 is a wasteful number, since it uses less digits than its factorization.

5174376768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 339 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 5174376768 is about 71933.1409574196. The cubic root of 5174376768 is about 1729.6279026432.

The spelling of 5174376768 in words is "five billion, one hundred seventy-four million, three hundred seventy-six thousand, seven hundred sixty-eight".