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10563055000 = 23542339067
BaseRepresentation
bin10011101011001101…
…10110110110011000
31000021011020210101021
421311212312312120
5133113120230000
64504054532224
7522522325501
oct116546666630
930234223337
1010563055000
114530629623
122069667074
13cc454bc04
14722c4dba8
1541c52e11a
hex2759b6d98

10563055000 has 80 divisors (see below), whose sum is σ = 24858199080. Its totient is φ = 4206624000.

The previous prime is 10563054973. The next prime is 10563055039. The reversal of 10563055000 is 55036501.

It is a super-2 number, since 2×105630550002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 1160467 + ... + 1169533.

Almost surely, 210563055000 is an apocalyptic number.

10563055000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10563055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12429099540).

10563055000 is an abundant number, since it is smaller than the sum of its proper divisors (14295144080).

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

10563055000 is an equidigital number, since it uses as much as digits as its factorization.

10563055000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9326 (or 9307 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The spelling of 10563055000 in words is "ten billion, five hundred sixty-three million, fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 233 250 466 500 625 932 1000 1165 1250 1864 2330 2500 4660 5000 5825 9067 9320 11650 18134 23300 29125 36268 45335 46600 58250 72536 90670 116500 145625 181340 226675 233000 291250 362680 453350 582500 906700 1133375 1165000 1813400 2112611 2266750 4225222 4533500 5666875 8450444 9067000 10563055 11333750 16900888 21126110 22667500 42252220 45335000 52815275 84504440 105630550 211261100 264076375 422522200 528152750 1056305500 1320381875 2112611000 2640763750 5281527500 10563055000