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2148683472 = 2432139711833
BaseRepresentation
bin1000000000010010…
…0100111011010000
312112202010102121100
42000010210323100
513400030332342
6553113424400
7104150336205
oct20004447320
95482112540
102148683472
11a0296a771
124bb70b100
13283204c50
1416551dcac
15c8981e4c
hex80124ed0

2148683472 has 120 divisors (see below), whose sum is σ = 6543207944. Its totient is φ = 654262272.

The previous prime is 2148683423. The next prime is 2148683473. The reversal of 2148683472 is 2743868412.

It is a happy number.

2148683472 is a `hidden beast` number, since 21 + 4 + 86 + 83 + 472 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 397763136 + 1750920336 = 19944^2 + 41844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148683473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175668 + ... + 187500.

Almost surely, 22148683472 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 2148683472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271603972).

2148683472 is an abundant number, since it is smaller than the sum of its proper divisors (4394524472).

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

2148683472 is a wasteful number, since it uses less digits than its factorization.

2148683472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11957 (or 11948 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 2148683472 is about 46353.8938170247. The cubic root of 2148683472 is about 1290.3993859816.

The spelling of 2148683472 in words is "two billion, one hundred forty-eight million, six hundred eighty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 97 104 117 144 156 194 208 234 291 312 388 468 582 624 776 873 936 1164 1261 1552 1746 1872 2328 2522 3492 3783 4656 5044 6984 7566 10088 11349 11833 13968 15132 20176 22698 23666 30264 35499 45396 47332 60528 70998 90792 94664 106497 141996 153829 181584 189328 212994 283992 307658 425988 461487 567984 615316 851976 922974 1147801 1230632 1384461 1703952 1845948 2295602 2461264 2768922 3443403 3691896 4591204 5537844 6886806 7383792 9182408 10330209 11075688 13773612 14921413 18364816 20660418 22151376 27547224 29842826 41320836 44764239 55094448 59685652 82641672 89528478 119371304 134292717 165283344 179056956 238742608 268585434 358113912 537170868 716227824 1074341736 2148683472