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24490641408 = 211323173309
BaseRepresentation
bin10110110011110000…
…011000100000000000
32100012210110111011220
4112303300120200000
5400124101011113
615130103235040
71524621005622
oct266360304000
970183414156
1024490641408
11a428368412
1248b5a48a80
132403b557bc
141284876c12
1598510b523
hex5b3c18800

24490641408 has 96 divisors (see below), whose sum is σ = 68131627200. Its totient is φ = 7808565248.

The previous prime is 24490641389. The next prime is 24490641481. The reversal of 24490641408 is 80414609442.

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

It is a self number, because there is not a number n which added to its sum of digits gives 24490641408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54658 + ... + 227966.

It is an arithmetic number, because the mean of its divisors is an integer number (709704450).

Almost surely, 224490641408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24490641408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34065813600).

24490641408 is an abundant number, since it is smaller than the sum of its proper divisors (43640985792).

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

24490641408 is a wasteful number, since it uses less digits than its factorization.

24490641408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173357 (or 173337 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 24490641408 in words is "twenty-four billion, four hundred ninety million, six hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2048 2208 2944 3072 4416 5888 6144 8832 11776 17664 23552 35328 47104 70656 141312 173309 346618 519927 693236 1039854 1386472 2079708 2772944 3986107 4159416 5545888 7972214 8318832 11091776 11958321 15944428 16637664 22183552 23916642 31888856 33275328 44367104 47833284 63777712 66550656 88734208 95666568 127555424 133101312 177468416 191333136 255110848 266202624 354936832 382666272 510221696 532405248 765332544 1020443392 1064810496 1530665088 2040886784 3061330176 4081773568 6122660352 8163547136 12245320704 24490641408