Search a number
-
+
24442493660 = 22513212756941
BaseRepresentation
bin10110110000111000…
…101101101011011100
32100002102212022212222
4112300320231223130
5400024234244120
615121223244512
71523464524314
oct266070555334
970072768788
1024442493660
11a403172292
1248a18a9738
1323c6b98500
14127c302444
15980c9a525
hex5b0e2dadc

24442493660 has 72 divisors (see below), whose sum is σ = 56019995136. Its totient is φ = 8953701120.

The previous prime is 24442493659. The next prime is 24442493681. The reversal of 24442493660 is 6639424442.

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 23 ways as a sum of consecutive naturals, for example, 400790 + ... + 457730.

It is an arithmetic number, because the mean of its divisors is an integer number (778055488).

Almost surely, 224442493660 is an apocalyptic number.

24442493660 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 24442493660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28009997568).

24442493660 is an abundant number, since it is smaller than the sum of its proper divisors (31577501476).

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

24442493660 is a wasteful number, since it uses less digits than its factorization.

24442493660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57103 (or 57088 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 44.

The spelling of 24442493660 in words is "twenty-four billion, four hundred forty-two million, four hundred ninety-three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 169 254 260 338 508 635 676 845 1270 1651 1690 2540 3302 3380 6604 8255 16510 21463 33020 42926 56941 85852 107315 113882 214630 227764 284705 429260 569410 740233 1138820 1480466 2960932 3701165 7231507 7402330 9623029 14463014 14804660 19246058 28926028 36157535 38492116 48115145 72315070 94009591 96230290 144630140 188019182 192460580 376038364 470047955 940095910 1222124683 1880191820 2444249366 4888498732 6110623415 12221246830 24442493660