Search a number
-
+
24551027040 = 253551899857
BaseRepresentation
bin10110110111010110…
…101111000101100000
32100101000002101200210
4112313112233011200
5400240030331130
615140101414120
71526253200211
oct266726570540
970330071623
1024551027040
11a459461aa1
12491210a340
132413509147
14128c8b5408
1598a5885b0
hex5b75af160

24551027040 has 96 divisors (see below), whose sum is σ = 77358486240. Its totient is φ = 6545014784.

The previous prime is 24551027029. The next prime is 24551027069. The reversal of 24551027040 is 4072015542.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×245510270402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 24551026989 and 24551027007.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2485792 + ... + 2495648.

It is an arithmetic number, because the mean of its divisors is an integer number (805817565).

Almost surely, 224551027040 is an apocalyptic number.

24551027040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24551027040 is an abundant number, since it is smaller than the sum of its proper divisors (52807459200).

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

24551027040 is a wasteful number, since it uses less digits than its factorization.

24551027040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15064 (or 15056 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The spelling of 24551027040 in words is "twenty-four billion, five hundred fifty-one million, twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 5189 9857 10378 15567 19714 20756 25945 29571 31134 39428 41512 49285 51890 59142 62268 77835 78856 83024 98570 103780 118284 124536 147855 155670 157712 166048 197140 207560 236568 249072 295710 311340 315424 394280 415120 473136 498144 591420 622680 788560 830240 946272 1182840 1245360 1577120 2365680 2490720 4731360 51147973 102295946 153443919 204591892 255739865 306887838 409183784 511479730 613775676 767219595 818367568 1022959460 1227551352 1534439190 1636735136 2045918920 2455102704 3068878380 4091837840 4910205408 6137756760 8183675680 12275513520 24551027040