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6742713456 = 243864231
BaseRepresentation
bin1100100011110010…
…11010010001110000
3122101220121100000000
412101321122101300
5102302113312311
63033023430000
7326043055503
oct62171322160
918356540000
106742713456
1129500a4466
121382155300
13835c11a9b
1447d70513a
15296e46056
hex191e5a470

6742713456 has 90 divisors (see below), whose sum is σ = 19595320472. Its totient is φ = 2247536160.

The previous prime is 6742713421. The next prime is 6742713457. The reversal of 6742713456 is 6543172476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6742713457) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72861 + ... + 137091.

Almost surely, 26742713456 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 6742713456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9797660236).

6742713456 is an abundant number, since it is smaller than the sum of its proper divisors (12852607016).

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

6742713456 is an frugal number, since it uses more digits than its factorization.

6742713456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64263 (or 64236 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 6742713456 is about 82114.0271573621. The cubic root of 6742713456 is about 1889.2012951718.

The spelling of 6742713456 in words is "six billion, seven hundred forty-two million, seven hundred thirteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 6561 8748 11664 13122 17496 26244 34992 52488 64231 104976 128462 192693 256924 385386 513848 578079 770772 1027696 1156158 1541544 1734237 2312316 3083088 3468474 4624632 5202711 6936948 9249264 10405422 13873896 15608133 20810844 27747792 31216266 41621688 46824399 62432532 83243376 93648798 124865064 140473197 187297596 249730128 280946394 374595192 421419591 561892788 749190384 842839182 1123785576 1685678364 2247571152 3371356728 6742713456