Search a number
-
+
24734068956 = 22372827397
BaseRepresentation
bin10111000010010000…
…111111000011011100
32100211202111220000000
4113002100333003130
5401123410201311
615210200534300
71533635055132
oct270220770334
970752456000
1024734068956
11a542812103
124963481390
13244240677c
1412a8d21752
1599b693056
hex5c243f0dc

24734068956 has 48 divisors (see below), whose sum is σ = 64917058080. Its totient is φ = 8244686736.

The previous prime is 24734068951. The next prime is 24734068963. The reversal of 24734068956 is 65986043742.

24734068956 is a `hidden beast` number, since 2 + 473 + 40 + 6 + 89 + 56 = 666.

It is a super-2 number, since 2×247340689562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24734068951) by changing a digit.

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, 1404951 + ... + 1422446.

It is an arithmetic number, because the mean of its divisors is an integer number (1352438710).

Almost surely, 224734068956 is an apocalyptic number.

It is an amenable number.

24734068956 is an abundant number, since it is smaller than the sum of its proper divisors (40182989124).

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

24734068956 is an equidigital number, since it uses as much as digits as its factorization.

24734068956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827422 (or 2827402 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 24734068956 in words is "twenty-four billion, seven hundred thirty-four million, sixty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 8748 2827397 5654794 8482191 11309588 16964382 25446573 33928764 50893146 76339719 101786292 152679438 229019157 305358876 458038314 687057471 916076628 1374114942 2061172413 2748229884 4122344826 6183517239 8244689652 12367034478 24734068956