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2820918912 = 27372394391
BaseRepresentation
bin1010100000100011…
…1100111010000000
321021121001112021020
42220020330322000
521234123401122
61143530025440
7126622262250
oct25010747200
97247045236
102820918912
111218376149
12668878280
1335c5729b6
141ca90b960
151179bcc5c
hexa823ce80

2820918912 has 128 divisors (see below), whose sum is σ = 8601292800. Its totient is φ = 802421760.

The previous prime is 2820918911. The next prime is 2820918917. The reversal of 2820918912 is 2198190282.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2820918911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640237 + ... + 644627.

It is an arithmetic number, because the mean of its divisors is an integer number (67197600).

Almost surely, 22820918912 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 2820918912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300646400).

2820918912 is an abundant number, since it is smaller than the sum of its proper divisors (5780373888).

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

2820918912 is a wasteful number, since it uses less digits than its factorization.

2820918912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4654 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 2820918912 is about 53112.3235417168. The cubic root of 2820918912 is about 1412.9610846708.

The spelling of 2820918912 in words is "two billion, eight hundred twenty million, nine hundred eighteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 239 336 384 448 478 672 717 896 956 1344 1434 1673 1912 2688 2868 3346 3824 4391 5019 5736 6692 7648 8782 10038 11472 13173 13384 15296 17564 20076 22944 26346 26768 30592 30737 35128 40152 45888 52692 53536 61474 70256 80304 91776 92211 105384 107072 122948 140512 160608 184422 210768 214144 245896 281024 321216 368844 421536 491792 562048 642432 737688 843072 983584 1049449 1475376 1686144 1967168 2098898 2950752 3148347 3934336 4197796 5901504 6296694 7346143 8395592 11803008 12593388 14692286 16791184 22038429 25186776 29384572 33582368 44076858 50373552 58769144 67164736 88153716 100747104 117538288 134329472 176307432 201494208 235076576 352614864 402988416 470153152 705229728 940306304 1410459456 2820918912