Search a number
-
+
729442209270 = 2352911316674451
BaseRepresentation
bin10101001110101100010…
…01001100110111110110
32120201211002012121002010
422213112021030313312
543422344201144040
61315033502025050
7103462154322225
oct12472611146766
92521732177063
10729442209270
1126139a124255
12b9454878186
1353a2b0c4748
142743b632cbc
1513e93c4ee80
hexa9d624cdf6

729442209270 has 128 divisors (see below), whose sum is σ = 1828562480640. Its totient is φ = 185994905600.

The previous prime is 729442209269. The next prime is 729442209361. The reversal of 729442209270 is 72902244927.

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, 163880545 + ... + 163884995.

It is an arithmetic number, because the mean of its divisors is an integer number (14285644380).

Almost surely, 2729442209270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729442209270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914281240320).

729442209270 is an abundant number, since it is smaller than the sum of its proper divisors (1099120271370).

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

729442209270 is a wasteful number, since it uses less digits than its factorization.

729442209270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6270.

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 729442209270 in words is "seven hundred twenty-nine billion, four hundred forty-two million, two hundred nine thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 113 145 174 226 290 339 435 565 678 870 1130 1667 1695 3277 3334 3390 4451 5001 6554 8335 8902 9831 10002 13353 16385 16670 19662 22255 25005 26706 32770 44510 48343 49155 50010 66765 96686 98310 129079 133530 145029 188371 241715 258158 290058 376742 387237 483430 502963 565113 645395 725145 774474 941855 1005926 1130226 1290790 1450290 1508889 1883710 1936185 2514815 2825565 3017778 3872370 5029630 5462759 5651130 7419817 7544445 10925518 14585927 14839634 15088890 16388277 22259451 27313795 29171854 32776554 37099085 43757781 44518902 54627590 72929635 74198170 81941385 87515562 111297255 145859270 163882770 215174693 218788905 222594510 430349386 437577810 645524079 838439321 1075873465 1291048158 1676878642 2151746930 2515317963 3227620395 4192196605 5030635926 6455240790 8384393210 12576589815 24314740309 25153179630 48629480618 72944220927 121573701545 145888441854 243147403090 364721104635 729442209270