Search a number
-
+
24555205040 = 2454143174101
BaseRepresentation
bin10110110111100110…
…101011000110110000
32100101021221122211112
4112313212223012300
5400242113030130
615140331132452
71526333541032
oct266746530660
970337848745
1024555205040
11a460855a93
1249135a4128
13241433ca32
14128d281c52
1598ab11495
hex5b79ab1b0

24555205040 has 80 divisors (see below), whose sum is σ = 59843732256. Its totient is φ = 9359616000.

The previous prime is 24555205033. The next prime is 24555205043. The reversal of 24555205040 is 4050255542.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 24555204988 and 24555205006.

It is not an unprimeable number, because it can be changed into a prime (24555205043) by changing a digit.

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, 53990 + ... + 228090.

Almost surely, 224555205040 is an apocalyptic number.

24555205040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24555205040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29921866128).

24555205040 is an abundant number, since it is smaller than the sum of its proper divisors (35288527216).

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

24555205040 is a wasteful number, since it uses less digits than its factorization.

24555205040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174198 (or 174192 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 32.

The spelling of 24555205040 in words is "twenty-four billion, five hundred fifty-five million, two hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 43 80 82 86 164 172 205 215 328 344 410 430 656 688 820 860 1640 1720 1763 3280 3440 3526 7052 8815 14104 17630 28208 35260 70520 141040 174101 348202 696404 870505 1392808 1741010 2785616 3482020 6964040 7138141 7486343 13928080 14276282 14972686 28552564 29945372 35690705 37431715 57105128 59890744 71381410 74863430 114210256 119781488 142762820 149726860 285525640 299453720 306940063 571051280 598907440 613880126 1227760252 1534700315 2455520504 3069400630 4911041008 6138801260 12277602520 24555205040