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46101222210164 = 221143367509130439
BaseRepresentation
bin10100111101101110001101…
…11110010011101001110100
320001020020022102220121121112
422132313012332103221310
522020310300341211124
6242014335322334152
712465463156124312
oct1236670676235164
9201206272817545
1046101222210164
1113764467099170
12520688605a358
131c95432706874
14b5544d79b0b2
1554e2ea36590e
hex29edc6f93a74

46101222210164 has 96 divisors (see below), whose sum is σ = 90481699123200. Its totient is φ = 20371744229760.

The previous prime is 46101222210091. The next prime is 46101222210179.

46101222210164 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 46101222210164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353366057 + ... + 353496495.

It is an arithmetic number, because the mean of its divisors is an integer number (942517699200).

Almost surely, 246101222210164 is an apocalyptic number.

46101222210164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46101222210164 is a deficient number, since it is larger than the sum of its proper divisors (44380476913036).

46101222210164 is a wasteful number, since it uses less digits than its factorization.

46101222210164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131373 (or 131371 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

It can be divided in two parts, 4610122 and 2210164, that added together give a palindrome (6820286).

The spelling of 46101222210164 in words is "forty-six trillion, one hundred one billion, two hundred twenty-two million, two hundred ten thousand, one hundred sixty-four".

Divisors: 1 2 4 11 22 43 44 86 172 367 473 509 734 946 1018 1468 1892 2036 4037 5599 8074 11198 15781 16148 21887 22396 31562 43774 63124 87548 130439 173591 186803 240757 260878 347182 373606 481514 521756 694364 747212 963028 1434829 2054833 2869658 4109666 5608877 5739316 8032529 8219332 11217754 16065058 22435508 32130116 47871113 61697647 66393451 88357819 95742226 123395294 132786902 176715638 191484452 246790588 265573804 353431276 526582243 730327961 1053164486 1460655922 2058457859 2106328972 2854918393 2921311844 4116915718 5709836786 8233831436 11419673572 22643036449 24366396517 31404102323 45286072898 48732793034 62808204646 90572145796 97465586068 125616409292 268030361687 536060723374 1047755050231 1072121446748 2095510100462 4191020200924 11525305552541 23050611105082 46101222210164