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10055540000 = 25541145707
BaseRepresentation
bin10010101110101101…
…10101110100100000
3221221210021100200102
421113112311310200
5131043204240000
64341445041532
7504120452102
oct112726656440
927853240612
1010055540000
1142a00aa040
121b476b62a8
13c4336538c
146b569d572
153dcbce3d5
hex2575b5d20

10055540000 has 120 divisors (see below), whose sum is σ = 26987648688. Its totient is φ = 3656480000.

The previous prime is 10055539969. The next prime is 10055540009. The reversal of 10055540000 is 4555001.

10055540000 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 2×100555400002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10055540009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 197147 + ... + 242853.

Almost surely, 210055540000 is an apocalyptic number.

10055540000 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 10055540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13493824344).

10055540000 is an abundant number, since it is smaller than the sum of its proper divisors (16932108688).

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

10055540000 is an equidigital number, since it uses as much as digits as its factorization.

10055540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45748 (or 45725 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

It can be divided in two parts, 10055 and 540000, that added together give a palindrome (550055).

The spelling of 10055540000 in words is "ten billion, fifty-five million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 10000 11000 13750 20000 22000 27500 44000 45707 55000 91414 110000 182828 220000 228535 365656 457070 502777 731312 914140 1005554 1142675 1462624 1828280 2011108 2285350 2513885 3656560 4022216 4570700 5027770 5713375 7313120 8044432 9141400 10055540 11426750 12569425 16088864 18282800 20111080 22853500 25138850 28566875 36565600 40222160 45707000 50277700 57133750 62847125 80444320 91414000 100555400 114267500 125694250 182828000 201110800 228535000 251388500 314235625 402221600 457070000 502777000 628471250 914140000 1005554000 1256942500 2011108000 2513885000 5027770000 10055540000