Search a number
-
+
24790390688 = 257173639719
BaseRepresentation
bin10111000101100111…
…110101011110100000
32100222200111022220002
4113011213311132200
5401232320000223
615215532035132
71535220562340
oct270547653640
970880438802
1024790390688
11a571590498
12497a302aa8
132450c9643b
1412b25c2d20
159a15bae28
hex5c59f57a0

24790390688 has 48 divisors (see below), whose sum is σ = 56100885120. Its totient is φ = 10563023616.

The previous prime is 24790390663. The next prime is 24790390699. The reversal of 24790390688 is 88609309742.

It is a happy number.

It is a super-2 number, since 2×247903906882 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281108 + ... + 358611.

It is an arithmetic number, because the mean of its divisors is an integer number (1168768440).

Almost surely, 224790390688 is an apocalyptic number.

24790390688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

24790390688 is an abundant number, since it is smaller than the sum of its proper divisors (31310494432).

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

24790390688 is a wasteful number, since it uses less digits than its factorization.

24790390688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639909 (or 639901 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 56.

The spelling of 24790390688 in words is "twenty-four billion, seven hundred ninety million, three hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 173 224 346 692 1211 1384 2422 2768 4844 5536 9688 19376 38752 639719 1279438 2558876 4478033 5117752 8956066 10235504 17912132 20471008 35824264 71648528 110671387 143297056 221342774 442685548 774699709 885371096 1549399418 1770742192 3098798836 3541484384 6197597672 12395195344 24790390688