Search a number
-
+
24939734128 = 24172923913229
BaseRepresentation
bin10111001110100001…
…100010010001110000
32101101002111202120121
4113032201202101300
5402034032443003
615242425020024
71542013146061
oct271641422160
971332452517
1024939734128
11a638914421
124a00324614
132475bc553a
1412c837a568
159ae76acbd
hex5ce862470

24939734128 has 80 divisors (see below), whose sum is σ = 53152848000. Its totient is φ = 11283378176.

The previous prime is 24939734107. The next prime is 24939734137. The reversal of 24939734128 is 82143793942.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1878618 + ... + 1891846.

It is an arithmetic number, because the mean of its divisors is an integer number (664410600).

Almost surely, 224939734128 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 24939734128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26576424000).

24939734128 is an abundant number, since it is smaller than the sum of its proper divisors (28213113872).

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

24939734128 is a wasteful number, since it uses less digits than its factorization.

24939734128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13522 (or 13516 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The spelling of 24939734128 in words is "twenty-four billion, nine hundred thirty-nine million, seven hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 239 272 464 478 493 956 986 1912 1972 3824 3944 4063 6931 7888 8126 13229 13862 16252 26458 27724 32504 52916 55448 65008 105832 110896 117827 211664 224893 235654 383641 449786 471308 767282 899572 942616 1534564 1799144 1885232 3069128 3161731 3598288 6138256 6323462 6521897 12646924 13043794 25293848 26087588 50587696 52175176 53749427 91690199 104350352 107498854 183380398 214997708 366760796 429995416 733521592 859990832 1467043184 1558733383 3117466766 6234933532 12469867064 24939734128