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10244354432 = 271319930937
BaseRepresentation
bin10011000101001110…
…00111000110000000
3222102221120010101112
421202213013012000
5131440023320212
64412312022452
7511602401354
oct114247070600
928387503345
1010244354432
114387742124
121b9a991a28
13c735042b0
146d27ad464
153ee579422
hex2629c7180

10244354432 has 64 divisors (see below), whose sum is σ = 22089732000. Its totient is φ = 4704251904.

The previous prime is 10244354401. The next prime is 10244354437. The reversal of 10244354432 is 23445344201.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10244354437) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 315668 + ... + 346604.

Almost surely, 210244354432 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 10244354432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11044866000).

10244354432 is an abundant number, since it is smaller than the sum of its proper divisors (11845377568).

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

10244354432 is a wasteful number, since it uses less digits than its factorization.

10244354432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31163 (or 31151 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 10244354432 its reverse (23445344201), we get a palindrome (33689698633).

The spelling of 10244354432 in words is "ten billion, two hundred forty-four million, three hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 199 208 398 416 796 832 1592 1664 2587 3184 5174 6368 10348 12736 20696 25472 30937 41392 61874 82784 123748 165568 247496 331136 402181 494992 804362 989984 1608724 1979968 3217448 3959936 6156463 6434896 12312926 12869792 24625852 25739584 49251704 51479168 80034019 98503408 160068038 197006816 320136076 394013632 640272152 788027264 1280544304 2561088608 5122177216 10244354432