Search a number
-
+
24631419136 = 281725772
BaseRepresentation
bin10110111100001001…
…011010000100000000
32100120121100201220211
4112330021122010000
5400421120403021
615152052443504
71531250415412
oct267411320400
970517321824
1024631419136
11a49a880845
124935019594
132427075b2c
1412994409b2
159926683e1
hex5bc25a100

24631419136 has 81 divisors (see below), whose sum is σ = 52319577639. Its totient is φ = 11571167232.

The previous prime is 24631419133. The next prime is 24631419157. The reversal of 24631419136 is 63191413642.

The square root of 24631419136 is 156944.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17386004736 + 7245414400 = 131856^2 + 85120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24631419133) 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 8 ways as a sum of consecutive naturals, for example, 42688480 + ... + 42689056.

Almost surely, 224631419136 is an apocalyptic number.

24631419136 is the 156944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24631419136

24631419136 is an abundant number, since it is smaller than the sum of its proper divisors (27688158503).

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

24631419136 is an frugal number, since it uses more digits than its factorization.

24631419136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 596 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The spelling of 24631419136 in words is "twenty-four billion, six hundred thirty-one million, four hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 544 577 578 1088 1154 1156 2176 2308 2312 4352 4616 4624 9232 9248 9809 18464 18496 19618 36928 36992 39236 73856 73984 78472 147712 156944 166753 313888 332929 333506 627776 665858 667012 1255552 1331716 1334024 2511104 2663432 2668048 5326864 5336096 5659793 10653728 10672192 11319586 21307456 21344384 22639172 42614912 42688768 45278344 85229824 90556688 96216481 181113376 192432962 362226752 384865924 724453504 769731848 1448907008 1539463696 3078927392 6157854784 12315709568 24631419136