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641445241302 = 232195639833389
BaseRepresentation
bin10010101010110010001…
…11011010000111010110
32021022200102101110100100
421111121013122013112
541002134440210202
61210401553354530
764225416406215
oct11253107320726
92238612343310
10641445241302
11228043130838
12a4396868a46
134864626b928
142309077d07c
1511a4368441c
hex95591da1d6

641445241302 has 96 divisors (see below), whose sum is σ = 1467467539200. Its totient is φ = 201936563136.

The previous prime is 641445241247. The next prime is 641445241313. The reversal of 641445241302 is 203142544146.

641445241302 is a `hidden beast` number, since 64 + 1 + 44 + 524 + 1 + 30 + 2 = 666.

641445241302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6414452413022 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189271024 + ... + 189274412.

It is an arithmetic number, because the mean of its divisors is an integer number (15286120200).

Almost surely, 2641445241302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641445241302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733733769600).

641445241302 is an abundant number, since it is smaller than the sum of its proper divisors (826022297898).

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

641445241302 is a wasteful number, since it uses less digits than its factorization.

641445241302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4962 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 641445241302 its reverse (203142544146), we get a palindrome (844587785448).

The spelling of 641445241302 in words is "six hundred forty-one billion, four hundred forty-five million, two hundred forty-one thousand, three hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 563 983 1126 1689 1966 2949 3378 3389 5067 5898 6778 8847 10134 10167 10697 17694 18677 20334 21394 30501 32091 37354 56031 61002 64182 64391 96273 112062 128782 168093 192546 193173 336186 386346 553429 579519 1106858 1159038 1660287 1908007 3320574 3331387 3816014 4980861 5724021 6662774 9961722 9994161 10515151 11448042 17172063 19988322 21030302 29982483 31545453 34344126 36252133 59964966 63090906 63296353 72504266 94636359 108756399 126592706 189272718 189889059 217512798 326269197 379778118 569667177 652538394 1139334354 1875570881 3751141762 5626712643 11253425286 16880137929 33760275858 35635846739 71271693478 106907540217 213815080434 320722620651 641445241302