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10450152304 = 2419237332039
BaseRepresentation
bin10011011101110000…
…01010101101110000
3222222021210201222221
421232320022231300
5132400214333204
64444543010424
7516651554224
oct115670125560
928867721887
1010450152304
114482925109
122037899a14
13ca703b597
14711c60784
1541267b654
hex26ee0ab70

10450152304 has 80 divisors (see below), whose sum is σ = 22280716800. Its totient is φ = 4726073088.

The previous prime is 10450152299. The next prime is 10450152371. The reversal of 10450152304 is 40325105401.

It is a happy number.

10450152304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5124117 + ... + 5126155.

It is an arithmetic number, because the mean of its divisors is an integer number (278508960).

Almost surely, 210450152304 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 10450152304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11140358400).

10450152304 is an abundant number, since it is smaller than the sum of its proper divisors (11830564496).

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

10450152304 is a wasteful number, since it uses less digits than its factorization.

10450152304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 10450152304 its reverse (40325105401), we get a palindrome (50775257705).

The spelling of 10450152304 in words is "ten billion, four hundred fifty million, one hundred fifty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 368 437 733 874 1466 1748 2039 2932 3496 4078 5864 6992 8156 11728 13927 16312 16859 27854 32624 33718 38741 46897 55708 67436 77482 93794 111416 134872 154964 187588 222832 269744 309928 320321 375176 619856 640642 750352 891043 1281284 1494587 1782086 2562568 2989174 3564172 5125136 5978348 7128344 11956696 14256688 23913392 28397153 34375501 56794306 68751002 113588612 137502004 227177224 275004008 454354448 550008016 653134519 1306269038 2612538076 5225076152 10450152304