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4466148016 = 2411295914831
BaseRepresentation
bin1000010100011010…
…00000001010110000
3102112020211211022111
410022031000022300
533121313214031
62015101015104
7215450426461
oct41215001260
912466754274
104466148016
11199202a120
12a47854494
13562383445
14305216d68
151b21531b1
hex10a3402b0

4466148016 has 80 divisors (see below), whose sum is σ = 9931507200. Its totient is φ = 1926713600.

The previous prime is 4466147969. The next prime is 4466148041. The reversal of 4466148016 is 6108416644.

It is a self number, because there is not a number n which added to its sum of digits gives 4466148016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293721 + ... + 308551.

It is an arithmetic number, because the mean of its divisors is an integer number (124143840).

Almost surely, 24466148016 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 4466148016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4965753600).

4466148016 is an abundant number, since it is smaller than the sum of its proper divisors (5465359184).

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

4466148016 is a wasteful number, since it uses less digits than its factorization.

4466148016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14938 (or 14932 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 4466148016 is about 66829.2452149506. The cubic root of 4466148016 is about 1646.8133188151.

The spelling of 4466148016 in words is "four billion, four hundred sixty-six million, one hundred forty-eight thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 29 44 58 59 88 116 118 176 232 236 319 464 472 638 649 944 1276 1298 1711 2552 2596 3422 5104 5192 6844 10384 13688 14831 18821 27376 29662 37642 59324 75284 118648 150568 163141 237296 301136 326282 430099 652564 860198 875029 1305128 1720396 1750058 2610256 3440792 3500116 4731089 6881584 7000232 9462178 9625319 14000464 18924356 19250638 25375841 37848712 38501276 50751682 75697424 77002552 101503364 154005104 203006728 279134251 406013456 558268502 1116537004 2233074008 4466148016