Search a number
-
+
4768330251630 = 2351123533721217
BaseRepresentation
bin100010101100011011010…
…1000010111110101101110
3121212211220010121112101110
41011120312220113311232
51111111020021023010
614050312441452450
71001333445251211
oct105306650276556
917784803545343
104768330251630
111579268131700
126501741a1126
1328786179611a
14126b075ab778
158407dc98120
hex45636a17d6e

4768330251630 has 96 divisors (see below), whose sum is σ = 12614571783072. Its totient is φ = 1152683868160.

The previous prime is 4768330251499. The next prime is 4768330251631. The reversal of 4768330251630 is 361520338674.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4768330251630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4768330251631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579219 + ... + 3141998.

It is an arithmetic number, because the mean of its divisors is an integer number (131401789407).

Almost surely, 24768330251630 is an apocalyptic number.

4768330251630 is an abundant number, since it is smaller than the sum of its proper divisors (7846241531442).

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

4768330251630 is a wasteful number, since it uses less digits than its factorization.

4768330251630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721602 (or 3721591 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 4768330251630 in words is "four trillion, seven hundred sixty-eight billion, three hundred thirty million, two hundred fifty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 353 363 605 706 726 1059 1210 1765 1815 2118 3530 3630 3883 5295 7766 10590 11649 19415 23298 38830 42713 58245 85426 116490 128139 213565 256278 427130 640695 1281390 3721217 7442434 11163651 18606085 22327302 37212170 40933387 55818255 81866774 111636510 122800161 204666935 245600322 409333870 450267257 614000805 900534514 1228001610 1313589601 1350801771 2251336285 2627179202 2701603542 3940768803 4502672570 6567948005 6754008855 7881537606 13135896010 13508017710 14449485611 19703844015 28898971222 39407688030 43348456833 72247428055 86696913666 144494856110 158944341721 216742284165 317888683442 433484568330 476833025163 794721708605 953666050326 1589443417210 2384165125815 4768330251630