Search a number
-
+
24487061040 = 24325132616139
BaseRepresentation
bin10110110011100010…
…101110011000110000
32100012112201120211200
4112303202232120300
5400122141423130
615125454411200
71524545404341
oct266342563060
970175646750
1024487061040
11a426342432
1248b4800b00
1324031a0c40
1412841c40c8
15984b50760
hex5b38ae630

24487061040 has 120 divisors (see below), whose sum is σ = 88561571280. Its totient is φ = 6027581952.

The previous prime is 24487061033. The next prime is 24487061051. The reversal of 24487061040 is 4016078442.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 24487060986 and 24487061004.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1298710 + ... + 1317429.

It is an arithmetic number, because the mean of its divisors is an integer number (738013094).

Almost surely, 224487061040 is an apocalyptic number.

24487061040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24487061040 is an abundant number, since it is smaller than the sum of its proper divisors (64074510240).

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

24487061040 is a wasteful number, since it uses less digits than its factorization.

24487061040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616171 (or 2616162 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 24487061040 in words is "twenty-four billion, four hundred eighty-seven million, sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 2616139 5232278 7848417 10464556 13080695 15696834 20929112 23545251 26161390 31393668 34009807 39242085 41858224 47090502 52322780 62787336 68019614 78484170 94181004 102029421 104645560 117726255 125574672 136039228 156968340 170049035 188362008 204058842 209291120 235452510 272078456 306088263 313936680 340098070 376724016 408117684 470905020 510147105 544156912 612176526 627873360 680196140 816235368 941810040 1020294210 1224353052 1360392280 1530441315 1632470736 1883620080 2040588420 2448706104 2720784560 3060882630 4081176840 4897412208 6121765260 8162353680 12243530520 24487061040