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641326623146 = 2112891011132609
BaseRepresentation
bin10010101010100100000…
…10111010100110101010
32021022101011012000211022
421111102002322212222
541001414103420041
61210342115132442
764222446231536
oct11252202724652
92238334160738
10641326623146
11227a92183200
12a4362ba4122
1348627809981
142307cb02bc6
1511a3805324b
hex95520ba9aa

641326623146 has 96 divisors (see below), whose sum is σ = 1089835462800. Its totient is φ = 282748928000.

The previous prime is 641326623137. The next prime is 641326623173.

641326623146 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 190716497521 + 450610125625 = 436711^2 + 671275^2 .

It is a super-2 number, since 2×6413266231462 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 641326623097 and 641326623106.

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, 245811890 + ... + 245814498.

Almost surely, 2641326623146 is an apocalyptic number.

641326623146 is a deficient number, since it is larger than the sum of its proper divisors (448508839654).

641326623146 is a wasteful number, since it uses less digits than its factorization.

641326623146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2925 counting only the distinct ones).

The product of its digits is 746496, while the sum is 44.

The spelling of 641326623146 in words is "six hundred forty-one billion, three hundred twenty-six million, six hundred twenty-three thousand, one hundred forty-six".

Divisors: 1 2 11 22 89 101 113 121 178 202 226 242 979 1111 1243 1958 2222 2486 2609 5218 8989 10057 10769 11413 12221 13673 17978 20114 21538 22826 24442 27346 28699 57398 98879 110627 125543 197758 221254 232201 251086 263509 294817 315689 464402 527018 589634 631378 1015757 1087669 1216897 1380973 2031514 2175338 2433794 2554211 2761946 2898599 3242987 5108422 5797198 6485974 11173327 22346654 23452301 26238713 28096321 29776517 31884589 35672857 46904602 52477426 56192642 59553034 63769178 71345714 122906597 245813194 257975311 288625843 327541687 515950622 577251686 655083374 2650110013 2837728421 3174884273 3602958557 5300220026 5675456842 6349768546 7205917114 29151210143 58302420286 320663311573 641326623146