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4610145868812 = 223211271130332969
BaseRepresentation
bin100001100010110001000…
…0110110101110000001100
3121022201120222210021221100
41003011202012311300030
51101013034320300222
613445512145303100
7654033466215441
oct103054206656014
917281528707840
104610145868812
11151817417a610
12625588634a90
13275972726ac3
1411d1bcc779c8
157edc18eb4ac
hex431621b5c0c

4610145868812 has 144 divisors (see below), whose sum is σ = 12769917189120. Its totient is φ = 1390748486400.

The previous prime is 4610145868799. The next prime is 4610145868831. The reversal of 4610145868812 is 2188685410164.

4610145868812 is a `hidden beast` number, since 4 + 6 + 101 + 458 + 6 + 8 + 81 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139816264 + ... + 139849232.

It is an arithmetic number, because the mean of its divisors is an integer number (88679980480).

Almost surely, 24610145868812 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 4610145868812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6384958594560).

4610145868812 is an abundant number, since it is smaller than the sum of its proper divisors (8159771320308).

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

4610145868812 is a wasteful number, since it uses less digits than its factorization.

4610145868812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34564 (or 34559 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 4610145868812 in words is "four trillion, six hundred ten billion, one hundred forty-five million, eight hundred sixty-eight thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 271 396 542 813 1084 1303 1626 2439 2606 2981 3252 3909 4878 5212 5962 7818 8943 9756 11727 11924 14333 15636 17886 23454 26829 28666 32969 35772 42999 46908 53658 57332 65938 85998 98907 107316 128997 131876 171996 197814 257994 296721 353113 362659 395628 515988 593442 706226 725318 1059339 1087977 1186884 1412452 1450636 2118678 2175954 3178017 3263931 3884243 4237356 4351908 6356034 6527862 7768486 8934599 11652729 12712068 13055724 15536972 17869198 23305458 26803797 34958187 35738396 42958607 46610916 53607594 69916374 80411391 85917214 98280589 107215188 128875821 139832748 160822782 171834428 196561178 257751642 294841767 321645564 386627463 393122356 472544677 515503284 589683534 773254926 884525301 945089354 1179367068 1417634031 1546509852 1769050602 1890178708 2835268062 3538101204 4252902093 5670536124 8505804186 11641782497 17011608372 23283564994 34925347491 46567129988 69850694982 104776042473 128059607467 139701389964 209552084946 256119214934 384178822401 419104169892 512238429868 768357644802 1152536467203 1536715289604 2305072934406 4610145868812