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67430397996 = 223313148132429
BaseRepresentation
bin111110110011001010…
…100011100000101100
320110001100012010121000
4332303022203200230
52101044140213441
650551015240300
74604662632423
oct766312434054
9213040163530
1067430397996
112666277a055
121109a379090
136487c888b0
1433996482ba
151b49c372b6
hexfb32a382c

67430397996 has 96 divisors (see below), whose sum is σ = 188400139200. Its totient is φ = 20733166080.

The previous prime is 67430397971. The next prime is 67430397997. The reversal of 67430397996 is 69979303476.

67430397996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×674303979963 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (67430397997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2063110 + ... + 2095538.

It is an arithmetic number, because the mean of its divisors is an integer number (1962501450).

Almost surely, 267430397996 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 67430397996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94200069600).

67430397996 is an abundant number, since it is smaller than the sum of its proper divisors (120969741204).

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

67430397996 is a wasteful number, since it uses less digits than its factorization.

67430397996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33936 (or 33928 counting only the distinct ones).

The product of its (nonzero) digits is 46294416, while the sum is 63.

The spelling of 67430397996 in words is "sixty-seven billion, four hundred thirty million, three hundred ninety-seven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 1481 2962 4443 5924 8886 13329 17772 19253 26658 32429 38506 39987 53316 57759 64858 77012 79974 97287 115518 129716 159948 173277 194574 231036 291861 346554 389148 421577 519831 583722 693108 843154 875583 1039662 1167444 1264731 1686308 1751166 2079324 2529462 3502332 3794193 5058924 7588386 11382579 15176772 22765158 45530316 48027349 96054698 144082047 192109396 288164094 432246141 576328188 624355537 864492282 1248711074 1296738423 1728984564 1873066611 2497422148 2593476846 3746133222 5186953692 5619199833 7492266444 11238399666 16857599499 22476799332 33715198998 67430397996