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4212541712964 = 2231343710988337
BaseRepresentation
bin111101010011001111000…
…011010110101001000100
3112220201022021102102021010
4331103033003112221010
51023004241134303324
612543114232322220
7613226465522004
oct75231703265104
915821267372233
104212541712964
11138458aa81402
12580503843370
1324731957a930
14107c60d72004
15748a0507829
hex3d4cf0d6a44

4212541712964 has 96 divisors (see below), whose sum is σ = 10833178688640. Its totient is φ = 1265830852608.

The previous prime is 4212541712941. The next prime is 4212541712969. The reversal of 4212541712964 is 4692171452124.

4212541712964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4212541712969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47643004 + ... + 47731340.

It is an arithmetic number, because the mean of its divisors is an integer number (112845611340).

Almost surely, 24212541712964 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 4212541712964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416589344320).

4212541712964 is an abundant number, since it is smaller than the sum of its proper divisors (6620636975676).

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

4212541712964 is a wasteful number, since it uses less digits than its factorization.

4212541712964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95509 (or 95507 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The spelling of 4212541712964 in words is "four trillion, two hundred twelve billion, five hundred forty-one million, seven hundred twelve thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 1118 1677 2236 3354 6708 7109 14218 21327 28436 42654 85308 88337 92417 176674 184834 265011 277251 305687 353348 369668 530022 554502 611374 917061 1060044 1109004 1148381 1222748 1834122 2296762 3445143 3668244 3798491 3973931 4593524 6890286 7596982 7947862 11395473 11921793 13780572 15193964 15895724 22790946 23843586 45581892 47687172 49380383 98760766 148141149 197521532 296282298 592564596 627987733 1255975466 1883963199 2511950932 3767926398 7535852796 8163840529 16327681058 24491521587 27003472519 32655362116 48983043174 54006945038 81010417557 97966086348 108013890076 162020835114 324041670228 351045142747 702090285494 1053135428241 1404180570988 2106270856482 4212541712964