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10531102553504 = 2513271745712527
BaseRepresentation
bin1001100100111111011010…
…1000000111010110100000
31101021202121122101101111222
42121033312220013112200
52340020144223203004
634221531031554212
72134563352512341
oct231176650072640
941252548341458
1010531102553504
1133a0240934295
121220bb8b2b968
135b5103c043c0
142859cada20c8
15133e1138c7be
hex993f6a075a0

10531102553504 has 96 divisors (see below), whose sum is σ = 22415148112896. Its totient is φ = 4841537495040.

The previous prime is 10531102553501. The next prime is 10531102553533. The reversal of 10531102553504 is 40535520113501.

It is a super-2 number, since 2×105311025535042 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10531102553501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840666089 + ... + 840678615.

It is an arithmetic number, because the mean of its divisors is an integer number (233491126176).

Almost surely, 210531102553504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10531102553504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11207574056448).

10531102553504 is an abundant number, since it is smaller than the sum of its proper divisors (11884045559392).

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

10531102553504 is a wasteful number, since it uses less digits than its factorization.

10531102553504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20278 (or 20270 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

The spelling of 10531102553504 in words is "ten trillion, five hundred thirty-one billion, one hundred two million, five hundred fifty-three thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 271 416 542 1084 2168 3523 4336 7046 7457 8672 12527 14092 14914 25054 28184 29828 50108 56368 59656 96941 100216 112736 119312 162851 193882 200432 238624 325702 387764 400864 651404 775528 1302808 1551056 2020847 2605616 3102112 3394817 4041694 5211232 6789634 8083388 13579268 16166776 26271011 27158536 32333552 44132621 52542022 54317072 64667104 88265242 93413839 105084044 108634144 176530484 186827678 210168088 353060968 373655356 420336176 706121936 747310712 840672352 1214379907 1412243872 1494621424 2428759814 2989242848 4857519628 9715039256 19430078512 25315150369 38860157024 50630300738 101260601476 202521202952 329096954797 405042405904 658193909594 810084811808 1316387819188 2632775638376 5265551276752 10531102553504