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10055000000 = 26572011
BaseRepresentation
bin10010101110101001…
…10001111111000000
3221221202020220221102
421113110301333000
5131043040000000
64341425313532
7504113042543
oct112724617700
927852226842
1010055000000
11429a870361
121b474958a8
13c43206656
146b559c85a
153dcb243d5
hex257531fc0

10055000000 has 112 divisors (see below), whose sum is σ = 24953451744. Its totient is φ = 4020000000.

The previous prime is 10054999967. The next prime is 10055000069. The reversal of 10055000000 is 55001.

10055000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100550000002 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (11) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4998995 + ... + 5001005.

Almost surely, 210055000000 is an apocalyptic number.

10055000000 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 10055000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12476725872).

10055000000 is an abundant number, since it is smaller than the sum of its proper divisors (14898451744).

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

10055000000 is an frugal number, since it uses more digits than its factorization.

10055000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 11.

Adding to 10055000000 its reverse (55001), we get a palindrome (10055055001).

It can be divided in two parts, 1005 and 5000000, that added together give a palindrome (5001005).

The spelling of 10055000000 in words is "ten billion, fifty-five million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2011 2500 3125 4000 4022 5000 6250 8000 8044 10000 10055 12500 15625 16088 20000 20110 25000 31250 32176 40000 40220 50000 50275 62500 64352 78125 80440 100000 100550 125000 128704 156250 160880 200000 201100 250000 251375 312500 321760 402200 500000 502750 625000 643520 804400 1000000 1005500 1250000 1256875 1608800 2011000 2500000 2513750 3217600 4022000 5000000 5027500 6284375 8044000 10055000 12568750 16088000 20110000 25137500 31421875 40220000 50275000 62843750 80440000 100550000 125687500 157109375 201100000 251375000 314218750 402200000 502750000 628437500 1005500000 1256875000 2011000000 2513750000 5027500000 10055000000