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2148668016 = 243116776011
BaseRepresentation
bin1000000000010010…
…0001001001110000
312112202002122101220
42000010201021300
513400024334031
6553113225040
7104150243145
oct20004411160
95482078356
102148668016
11a0295a0a0
124bb702180
132831cabc1
141655183cc
15c897c596
hex80121270

2148668016 has 80 divisors (see below), whose sum is σ = 6065290368. Its totient is φ = 650041600.

The previous prime is 2148668009. The next prime is 2148668021. The reversal of 2148668016 is 6108668412.

It is a congruent number.

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, 354451 + ... + 360461.

Almost surely, 22148668016 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 2148668016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032645184).

2148668016 is an abundant number, since it is smaller than the sum of its proper divisors (3916622352).

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

2148668016 is a wasteful number, since it uses less digits than its factorization.

2148668016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6710 (or 6704 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 2148668016 is about 46353.7270993391. The cubic root of 2148668016 is about 1290.3962919225.

The spelling of 2148668016 in words is "two billion, one hundred forty-eight million, six hundred sixty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 677 1354 2031 2708 4062 5416 6011 7447 8124 10832 12022 14894 16248 18033 22341 24044 29788 32496 36066 44682 48088 59576 66121 72132 89364 96176 119152 132242 144264 178728 198363 264484 288528 357456 396726 528968 793452 1057936 1586904 3173808 4069447 8138894 12208341 16277788 24416682 32555576 44763917 48833364 65111152 89527834 97666728 134291751 179055668 195333456 268583502 358111336 537167004 716222672 1074334008 2148668016