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10010450432 = 2942146441
BaseRepresentation
bin10010101001010101…
…10101101000000000
3221211122102120102102
421110222311220000
5131000133403212
64333154405532
7503032265453
oct112452655000
927748376372
1010010450432
114277702634
121b345908a8
13c36c09068
146ad6c349a
153d8c745c2
hex254ab5a00

10010450432 has 40 divisors (see below), whose sum is σ = 20049290052. Its totient is φ = 4993228800.

The previous prime is 10010450363. The next prime is 10010450449. The reversal of 10010450432 is 23405401001.

It can be written as a sum of positive squares in 2 ways, for example, as 7220920576 + 2789529856 = 84976^2 + 52816^2 .

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 3 ways as a sum of consecutive naturals, for example, 192332 + ... + 238772.

Almost surely, 210010450432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10024645026).

10010450432 is an abundant number, since it is smaller than the sum of its proper divisors (10038839620).

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

10010450432 is an frugal number, since it uses more digits than its factorization.

10010450432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46880 (or 46864 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10010450432 its reverse (23405401001), we get a palindrome (33415851433).

The spelling of 10010450432 in words is "ten billion, ten million, four hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 421 512 842 1684 3368 6736 13472 26944 46441 53888 92882 107776 185764 215552 371528 743056 1486112 2972224 5944448 11888896 19551661 23777792 39103322 78206644 156413288 312826576 625653152 1251306304 2502612608 5005225216 10010450432