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10055545900 = 22521710395693
BaseRepresentation
bin10010101110101101…
…10111010000101100
3221221210021122202221
421113112313100230
5131043204432100
64341445125124
7504120505231
oct112726672054
927853248687
1010055545900
1142a0103514
121b476b97a4
13c43367c7a
146b56a1788
153dcbd101a
hex2575b742c

10055545900 has 72 divisors (see below), whose sum is σ = 23130394560. Its totient is φ = 3781309440.

The previous prime is 10055545873. The next prime is 10055545909. The reversal of 10055545900 is 954555001.

It is a super-2 number, since 2×100555459002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (10055545909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1763454 + ... + 1769146.

It is an arithmetic number, because the mean of its divisors is an integer number (321255480).

Almost surely, 210055545900 is an apocalyptic number.

10055545900 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 10055545900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11565197280).

10055545900 is an abundant number, since it is smaller than the sum of its proper divisors (13074848660).

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

10055545900 is a wasteful number, since it uses less digits than its factorization.

10055545900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6763 (or 6756 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 10055545900 in words is "ten billion, fifty-five million, five hundred forty-five thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1039 1700 2078 4156 5195 5693 10390 11386 17663 20780 22772 25975 28465 35326 51950 56930 70652 88315 96781 103900 113860 142325 176630 193562 284650 353260 387124 441575 483905 569300 883150 967810 1766300 1935620 2419525 4839050 5915027 9678100 11830054 23660108 29575135 59150270 100555459 118300540 147875675 201110918 295751350 402221836 502777295 591502700 1005554590 2011109180 2513886475 5027772950 10055545900