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10052440400 = 245233774573
BaseRepresentation
bin10010101110010110…
…00001000101010000
3221221120102212211102
421113023001011100
5131041411043100
64341254403532
7504052222262
oct112713010520
927846385742
1010052440400
114299382292
121b466605a8
13c4281b5b2
146b50d3b32
153dc7bacd5
hex2572c1150

10052440400 has 60 divisors (see below), whose sum is σ = 24222977532. Its totient is φ = 4008990720.

The previous prime is 10052440397. The next prime is 10052440439. The reversal of 10052440400 is 404425001.

It can be written as a sum of positive squares in 6 ways, for example, as 238764304 + 9813676096 = 15452^2 + 99064^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97514 + ... + 172086.

Almost surely, 210052440400 is an apocalyptic number.

10052440400 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 10052440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12111488766).

10052440400 is an abundant number, since it is smaller than the sum of its proper divisors (14170537132).

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

10052440400 is a wasteful number, since it uses less digits than its factorization.

10052440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74928 (or 74917 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 10052440400 its reverse (404425001), we get a palindrome (10456865401).

The spelling of 10052440400 in words is "ten billion, fifty-two million, four hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 337 400 674 1348 1685 2696 3370 5392 6740 8425 13480 16850 26960 33700 67400 74573 134800 149146 298292 372865 596584 745730 1193168 1491460 1864325 2982920 3728650 5965840 7457300 14914600 25131101 29829200 50262202 100524404 125655505 201048808 251311010 402097616 502622020 628277525 1005244040 1256555050 2010488080 2513110100 5026220200 10052440400