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10542245454400 = 265211598991219
BaseRepresentation
bin1001100101101000111011…
…0010111010001001000000
31101022211101012201101221011
42121122032302322021000
52340211004314020100
634231012443010304
72135436445560022
oct231321662721100
941284335641834
1010542245454400
1133a4a397a56a0
1212231a8809994
135b618b61359a
14286366c30012
15134364757bba
hex9968ecba240

10542245454400 has 84 divisors (see below), whose sum is σ = 28298741197680. Its totient is φ = 3833543795200.

The previous prime is 10542245454397. The next prime is 10542245454421. The reversal of 10542245454400 is 445454224501.

It is a super-2 number, since 2×105422454544002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 299478010 + ... + 299513209.

Almost surely, 210542245454400 is an apocalyptic number.

10542245454400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10542245454400 is an abundant number, since it is smaller than the sum of its proper divisors (17756495743280).

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

10542245454400 is a wasteful number, since it uses less digits than its factorization.

10542245454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598991252 (or 598991237 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 40.

Adding to 10542245454400 its reverse (445454224501), we get a palindrome (10987699678901).

The spelling of 10542245454400 in words is "ten trillion, five hundred forty-two billion, two hundred forty-five million, four hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8800 17600 598991219 1197982438 2395964876 2994956095 4791929752 5989912190 6588903409 9583859504 11979824380 13177806818 14974780475 19167719008 23959648760 26355613636 29949560950 32944517045 38335438016 47919297520 52711227272 59899121900 65889034090 95838595040 105422454544 119798243800 131778068180 164722585225 191677190080 210844909088 239596487600 263556136360 329445170450 421689818176 479192975200 527112272720 658890340900 958385950400 1054224545440 1317780681800 2108449090880 2635561363600 5271122727200 10542245454400