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2890420104820 = 2252331202694257
BaseRepresentation
bin101010000011111010011…
…101101010111001110100
3101020022200100100211112211
4222003322131222321310
5334324040021323240
610051501330023204
7415553206342033
oct52037235527164
911208610324484
102890420104820
11a14902883636
123a8223a17b04
1317c747393641
149dc7b82c71a
15502be481bea
hex2a0fa76ae74

2890420104820 has 48 divisors (see below), whose sum is σ = 6538105986048. Its totient is φ = 1070225671680.

The previous prime is 2890420104811. The next prime is 2890420104827. The reversal of 2890420104820 is 284010240982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890420104827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101332869 + ... + 101361388.

It is an arithmetic number, because the mean of its divisors is an integer number (136210541376).

Almost surely, 22890420104820 is an apocalyptic number.

2890420104820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2890420104820 is an abundant number, since it is smaller than the sum of its proper divisors (3647685881228).

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

2890420104820 is a wasteful number, since it uses less digits than its factorization.

2890420104820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202694320 (or 202694318 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 2890420104820 in words is "two trillion, eight hundred ninety billion, four hundred twenty million, one hundred four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 1426 2852 3565 7130 14260 202694257 405388514 810777028 1013471285 2026942570 4053885140 4661967911 6283521967 9323935822 12567043934 18647871644 23309839555 25134087868 31417609835 46619679110 62835219670 93239358220 125670439340 144521005241 289042010482 578084020964 722605026205 1445210052410 2890420104820