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4620111012 = 223211171733967
BaseRepresentation
bin1000100110110000…
…10100110010100100
3102220222112221211200
410103120110302210
533430222023022
62042241002500
7222330203256
oct42330246244
912828487750
104620111012
111a60a28870
12a8b323430
1358823c0ca
1431b853cd6
151c0916bac
hex113614ca4

4620111012 has 144 divisors (see below), whose sum is σ = 13571131392. Its totient is φ = 1309731840.

The previous prime is 4620111011. The next prime is 4620111019. The reversal of 4620111012 is 2101110264.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4620111011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1162653 + ... + 1166619.

It is an arithmetic number, because the mean of its divisors is an integer number (94243968).

Almost surely, 24620111012 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 4620111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785565696).

4620111012 is an abundant number, since it is smaller than the sum of its proper divisors (8951020380).

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

4620111012 is a wasteful number, since it uses less digits than its factorization.

4620111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 4620111012 is about 67971.3984849510. The cubic root of 4620111012 is about 1665.5236488365.

Adding to 4620111012 its reverse (2101110264), we get a palindrome (6721221276).

The spelling of 4620111012 in words is "four billion, six hundred twenty million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 173 187 198 204 306 346 374 396 519 561 612 692 748 1038 1122 1557 1683 1903 2076 2244 2941 3114 3366 3806 3967 5709 5882 6228 6732 7612 7934 8823 11418 11764 11901 15868 17127 17646 22836 23802 26469 32351 34254 35292 35703 43637 47604 52938 64702 67439 68508 71406 87274 97053 105876 129404 130911 134878 142812 174548 194106 202317 261822 269756 291159 388212 392733 404634 523644 582318 606951 686291 741829 785466 809268 1164636 1213902 1372582 1483658 1570932 2058873 2225487 2427804 2745164 2967316 4117746 4450974 6176619 6676461 7549201 8235492 8901948 11666947 12353238 13352922 15098402 22647603 23333894 24706476 26705844 30196804 35000841 45295206 46667788 67942809 70001682 90590412 105002523 128336417 135885618 140003364 210005046 256672834 271771236 385009251 420010092 513345668 770018502 1155027753 1540037004 2310055506 4620111012