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5757938784 = 2534131071597
BaseRepresentation
bin1010101110011001…
…10010110001100000
3112212021120121010000
411113030302301200
543243013020114
62351204340000
7262454446353
oct52714626140
915767517100
105757938784
11249522a6a4
1211483a4600
13709ba5990
143c89dc29a
1523a770e09
hex157332c60

5757938784 has 240 divisors, whose sum is σ = 18418509648. Its totient is φ = 1754016768.

The previous prime is 5757938783. The next prime is 5757938789. The reversal of 5757938784 is 4878397575.

5757938784 is a `hidden beast` number, since 57 + 579 + 3 + 8 + 7 + 8 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5757938783) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3604674 + ... + 3606270.

Almost surely, 25757938784 is an apocalyptic number.

5757938784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5757938784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9209254824).

5757938784 is an abundant number, since it is smaller than the sum of its proper divisors (12660570864).

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

5757938784 is a wasteful number, since it uses less digits than its factorization.

5757938784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1722 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 63.

The square root of 5757938784 is about 75881.0831762436. The cubic root of 5757938784 is about 1792.3480503538.

The spelling of 5757938784 in words is "five billion, seven hundred fifty-seven million, nine hundred thirty-eight thousand, seven hundred eighty-four".