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10516556106 = 234721324837
BaseRepresentation
bin10011100101101010…
…11110100101001010
31000010220202101220000
421302311132211022
5133014214243411
64455314143430
7521416152300
oct116265364512
930126671800
1010516556106
11450735a291
122055b81b76
13cb7a1b284
1471a9c8270
154183e6956
hex272d5e94a

10516556106 has 60 divisors (see below), whose sum is σ = 27412223058. Its totient is φ = 3004728048.

The previous prime is 10516556021. The next prime is 10516556131. The reversal of 10516556106 is 60165561501.

It can be written as a sum of positive squares in only one way, i.e., 5313097881 + 5203458225 = 72891^2 + 72135^2 .

It is a super-2 number, since 2×105165561062 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 654481 + ... + 670356.

Almost surely, 210516556106 is an apocalyptic number.

10516556106 is an abundant number, since it is smaller than the sum of its proper divisors (16895666952).

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

10516556106 is a wasteful number, since it uses less digits than its factorization.

10516556106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324865 (or 1324849 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 10516556106 in words is "ten billion, five hundred sixteen million, five hundred fifty-six thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7938 1324837 2649674 3974511 7949022 9273859 11923533 18547718 23847066 27821577 35770599 55643154 64917013 71541198 83464731 107311797 129834026 166929462 194751039 214623594 250394193 389502078 500788386 584253117 751182579 1168506234 1502365158 1752759351 3505518702 5258278053 10516556106