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5746311234 = 23497503727
BaseRepresentation
bin1010101101000000…
…11100000001000010
3112211110200212010000
411112200130001002
543232023424414
62350111220430
7262253560656
oct52640340102
915743625100
105746311234
112489708754
121144517716
13707664381
143c7252a66
15239725b09
hex15681c042

5746311234 has 80 divisors (see below), whose sum is σ = 13052527488. Its totient is φ = 1889319168.

The previous prime is 5746311229. The next prime is 5746311247. The reversal of 5746311234 is 4321136475.

5746311234 is a `hidden beast` number, since 5 + 7 + 4 + 631 + 12 + 3 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7903779 + ... + 7904505.

Almost surely, 25746311234 is an apocalyptic number.

5746311234 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5746311234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6526263744).

5746311234 is an abundant number, since it is smaller than the sum of its proper divisors (7306216254).

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

5746311234 is a wasteful number, since it uses less digits than its factorization.

5746311234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1332 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 5746311234 is about 75804.4275355998. The cubic root of 5746311234 is about 1791.1407513770.

The spelling of 5746311234 in words is "five billion, seven hundred forty-six million, three hundred eleven thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 291 503 582 727 873 1006 1454 1509 1746 2181 2619 3018 4362 4527 5238 6543 7857 9054 13086 13581 15714 19629 27162 39258 40743 48791 58887 70519 81486 97582 117774 141038 146373 211557 292746 365681 423114 439119 634671 731362 878238 1097043 1269342 1317357 1904013 2194086 2634714 3291129 3808026 3952071 5712039 6582258 7904142 9873387 11424078 19746774 29620161 35471057 59240322 70942114 106413171 212826342 319239513 638479026 957718539 1915437078 2873155617 5746311234