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11006645634234 = 23213719132333173
BaseRepresentation
bin1010000000101010111100…
…1101000000010010111010
31102222020002001120212122200
42200022233031000102322
52420313102240243414
635224214434331030
72214126640143255
oct240125715002272
942866061525580
1011006645634234
11356398a577308
1212991b3429a76
1361abcb1a58c3
142a0a2000a09c
15141494d26109
hexa02af3404ba

11006645634234 has 48 divisors (see below), whose sum is σ = 24034370683752. Its totient is φ = 3640196289024.

The previous prime is 11006645634223. The next prime is 11006645634307. The reversal of 11006645634234 is 43243654660011.

11006645634234 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 6 + 6 + 4 + 5 + 634 + 2 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10445274567225 + 561371067009 = 3231915^2 + 749247^2 .

It is a super-2 number, since 2×110066456342342 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11006645634234.

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, 3550872 + ... + 5884044.

Almost surely, 211006645634234 is an apocalyptic number.

11006645634234 is an abundant number, since it is smaller than the sum of its proper divisors (13027725049518).

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

11006645634234 is a wasteful number, since it uses less digits than its factorization.

11006645634234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335231 (or 2335228 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 11006645634234 in words is "eleven trillion, six billion, six hundred forty-five million, six hundred thirty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 137 274 411 822 1233 1913 2466 3826 5739 11478 17217 34434 262081 524162 786243 1572486 2333173 2358729 4666346 4717458 6999519 13999038 20998557 41997114 319644701 639289402 958934103 1917868206 2876802309 4463359949 5753604618 8926719898 13390079847 26780159694 40170239541 80340479082 611480313013 1222960626026 1834440939039 3668881878078 5503322817117 11006645634234