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47227708448 = 254129372
BaseRepresentation
bin101011111110111111…
…011010010000100000
311111220101021011112222
4223332333122100200
51233210243132243
633410205410212
73261226620044
oct537677322040
9144811234488
1047227708448
11190358a0408
1291a0569968
1345b85c471b
142400480024
1513662d0168
hexafefda420

47227708448 has 54 divisors (see below), whose sum is σ = 95404475943. Its totient is φ = 23013319680.

The previous prime is 47227708441. The next prime is 47227708487. The reversal of 47227708448 is 84480772274.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 5033618704 + 42194089744 = 70948^2 + 205412^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=153668.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 47227708448.

It is not an unprimeable number, because it can be changed into a prime (47227708441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50402636 + ... + 50403572.

Almost surely, 247227708448 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 47227708448

47227708448 is an abundant number, since it is smaller than the sum of its proper divisors (48176767495).

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

47227708448 is an frugal number, since it uses more digits than its factorization.

47227708448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 53.

The spelling of 47227708448 in words is "forty-seven billion, two hundred twenty-seven million, seven hundred eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 937 1312 1681 1874 3362 3748 6724 7496 13448 14992 26896 29984 38417 53792 76834 153668 307336 614672 877969 1229344 1575097 1755938 3150194 3511876 6300388 7023752 12600776 14047504 25201552 28095008 35996729 50403104 71993458 143986916 287973832 575947664 1151895328 1475865889 2951731778 5903463556 11806927112 23613854224 47227708448