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10642633043042 = 27111321724054301
BaseRepresentation
bin1001101011011110111001…
…0111001010110001100010
31101200102111101200021211202
42122313232113022301202
52343332103024334132
634345054053241202
72145622240155410
oct232675627126142
941612441607752
1010642633043042
113433573999890
12123a744333202
135c279950a300
1428b16b5442b0
15136c8ca03762
hex9adee5cac62

10642633043042 has 96 divisors (see below), whose sum is σ = 22819642786944. Its totient is φ = 3602371968000.

The previous prime is 10642633042981. The next prime is 10642633043117. The reversal of 10642633043042 is 24034033624601.

It is a super-3 number, since 3×106426330430423 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10642633042987 and 10642633043005.

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, 11584709 + ... + 12469592.

It is an arithmetic number, because the mean of its divisors is an integer number (237704612364).

Almost surely, 210642633043042 is an apocalyptic number.

10642633043042 is an abundant number, since it is smaller than the sum of its proper divisors (12177009743902).

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

10642633043042 is a wasteful number, since it uses less digits than its factorization.

10642633043042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24054364 (or 24054351 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 38.

Adding to 10642633043042 its reverse (24034033624601), we get a palindrome (34676666667643).

The spelling of 10642633043042 in words is "ten trillion, six hundred forty-two billion, six hundred thirty-three million, forty-three thousand, forty-two".

Divisors: 1 2 7 11 13 14 17 22 26 34 77 91 119 143 154 169 182 187 221 238 286 338 374 442 1001 1183 1309 1547 1859 2002 2366 2431 2618 2873 3094 3718 4862 5746 13013 17017 20111 26026 31603 34034 40222 63206 221221 442442 24054301 48108602 168380107 264597311 312705913 336760214 408923117 529194622 625411826 817846234 1852181177 2188941391 2862461819 3439765043 3704362354 4065176869 4377882782 4498154287 5316000521 5724923638 6879530086 8130353738 8996308574 10632001042 24078355301 28456238083 31487080009 37212003647 44716945559 48156710602 56912476166 58476005731 62974160018 69108006773 74424007294 89433891118 116952011462 138216013546 313018618913 409332040117 483756047411 626037237826 760188074503 818664080234 967512094822 1520376149006 5321316521521 10642633043042