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470724804864 = 283422700849
BaseRepresentation
bin1101101100110010110…
…00101000000100000000
31200000000121202201020000
412312121120220010000
530203021022223424
61000125322120000
746002666552246
oct6663130500400
91600017681200
10470724804864
111716a6976056
1277290950000
1335509c9b4c2
1418ad716c796
15c3a097b3c9
hex6d99628100

470724804864 has 90 divisors (see below), whose sum is σ = 1403616256350. Its totient is φ = 156908261376.

The previous prime is 470724804779. The next prime is 470724804871. The reversal of 470724804864 is 468408427074.

470724804864 is a `hidden beast` number, since 470 + 72 + 4 + 8 + 0 + 48 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 351981158400 + 118743646464 = 593280^2 + 344592^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 470724804864.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11329689 + ... + 11371160.

Almost surely, 2470724804864 is an apocalyptic number.

It is an amenable number.

470724804864 is an abundant number, since it is smaller than the sum of its proper divisors (932891451486).

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

470724804864 is an equidigital number, since it uses as much as digits as its factorization.

470724804864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22700877 (or 22700854 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 470724804864 in words is "four hundred seventy billion, seven hundred twenty-four million, eight hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 22700849 45401698 68102547 90803396 136205094 181606792 204307641 272410188 363213584 408615282 544820376 612922923 726427168 817230564 1089640752 1225845846 1452854336 1634461128 1838768769 2179281504 2451691692 2905708672 3268922256 3677537538 4358563008 4903383384 5811417344 6537844512 7355075076 8717126016 9806766768 13075689024 14710150152 17434252032 19613533536 26151378048 29420300304 39227067072 52302756096 58840600608 78454134144 117681201216 156908268288 235362402432 470724804864