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10642070534112 = 2532233158590703
BaseRepresentation
bin1001101011011100110011…
…0101010111011111100000
31101200101001012012212122200
42122313030311113133200
52343324430024042422
634344522200533200
72145602300004603
oct232671465273740
941611035185580
1010642070534112
113433305418576
12123a607a81200
135c2709b0a2a4
1428b11695a33a
15136c5843e2ac
hex9adccd577e0

10642070534112 has 72 divisors (see below), whose sum is σ = 30393274058784. Its totient is φ = 3532132114944.

The previous prime is 10642070534107. The next prime is 10642070534119. The reversal of 10642070534112 is 21143507024601.

10642070534112 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 2 + 0 + 7 + 0 + 534 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106420705341122 (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 not an unprimeable number, because it can be changed into a prime (10642070534119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79228248 + ... + 79362455.

It is an arithmetic number, because the mean of its divisors is an integer number (422128806372).

Almost surely, 210642070534112 is an apocalyptic number.

10642070534112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10642070534112 is an abundant number, since it is smaller than the sum of its proper divisors (19751203524672).

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

10642070534112 is a wasteful number, since it uses less digits than its factorization.

10642070534112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158590952 (or 158590941 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 10642070534112 its reverse (21143507024601), we get a palindrome (31785577558713).

The spelling of 10642070534112 in words is "ten trillion, six hundred forty-two billion, seventy million, five hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 233 288 466 699 932 1398 1864 2097 2796 3728 4194 5592 7456 8388 11184 16776 22368 33552 67104 158590703 317181406 475772109 634362812 951544218 1268725624 1427316327 1903088436 2537451248 2854632654 3806176872 5074902496 5709265308 7612353744 11418530616 15224707488 22837061232 36951633799 45674122464 73903267598 110854901397 147806535196 221709802794 295613070392 332564704191 443419605588 591226140784 665129408382 886839211176 1182452281568 1330258816764 1773678422352 2660517633528 3547356844704 5321035267056 10642070534112