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10054545440 = 255361317393
BaseRepresentation
bin10010101110100110…
…00011000000100000
3221221201101211101212
421113103003000200
5131042430423230
64341411445252
7504106140362
oct112723030040
927851354355
1010054545440
11429a58a895
121b472b6828
13c430a7794
146b54c0d32
153dca84895
hex2574c3020

10054545440 has 48 divisors (see below), whose sum is σ = 23761804248. Its totient is φ = 4020473856.

The previous prime is 10054545439. The next prime is 10054545443. The reversal of 10054545440 is 4454545001.

It can be written as a sum of positive squares in 4 ways, for example, as 2993840656 + 7060704784 = 54716^2 + 84028^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10054545397 and 10054545406.

It is not an unprimeable number, because it can be changed into a prime (10054545443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 569384 + ... + 586776.

Almost surely, 210054545440 is an apocalyptic number.

10054545440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10054545440 is an abundant number, since it is smaller than the sum of its proper divisors (13707258808).

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

10054545440 is a wasteful number, since it uses less digits than its factorization.

10054545440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21021 (or 21013 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

The spelling of 10054545440 in words is "ten billion, fifty-four million, five hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3613 7226 14452 17393 18065 28904 34786 36130 57808 69572 72260 86965 115616 139144 144520 173930 278288 289040 347860 556576 578080 695720 1391440 2782880 62840909 125681818 251363636 314204545 502727272 628409090 1005454544 1256818180 2010909088 2513636360 5027272720 10054545440