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10506215240604 = 22321759290966413
BaseRepresentation
bin1001100011100010101100…
…1110100011001110011100
31101012101101012111220100100
42120320223032203032130
52334113212100144404
634202253314301100
72133022544033646
oct230705316431634
941171335456310
1010506215240604
11339072a6747a6
121218212287790
135b2968b34355
1428470998d896
15133456528d39
hex98e2b3a339c

10506215240604 has 72 divisors (see below), whose sum is σ = 28596179167920. Its totient is φ = 3240201964032.

The previous prime is 10506215240593. The next prime is 10506215240627. The reversal of 10506215240604 is 40604251260501.

10506215240604 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 6 + 2 + 1 + 5 + 2 + 40 + 604 = 666.

10506215240604 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 2×105062152406042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145447099 + ... + 145519314.

It is an arithmetic number, because the mean of its divisors is an integer number (397169155110).

Almost surely, 210506215240604 is an apocalyptic number.

It is an amenable number.

10506215240604 is an abundant number, since it is smaller than the sum of its proper divisors (18089963927316).

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

10506215240604 is a wasteful number, since it uses less digits than its factorization.

10506215240604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290966499 (or 290966494 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10506215240604 in words is "ten trillion, five hundred six billion, two hundred fifteen million, two hundred forty thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 59 68 102 118 153 177 204 236 306 354 531 612 708 1003 1062 2006 2124 3009 4012 6018 9027 12036 18054 36108 290966413 581932826 872899239 1163865652 1745798478 2618697717 3491596956 4946429021 5237395434 9892858042 10474790868 14839287063 17167018367 19785716084 29678574126 34334036734 44517861189 51501055101 59357148252 68668073468 89035722378 103002110202 154503165303 178071444756 206004220404 291839312239 309006330606 583678624478 618012661212 875517936717 1167357248956 1751035873434 2626553810151 3502071746868 5253107620302 10506215240604