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2054216970 = 23351333463
BaseRepresentation
bin111101001110000…
…1101110100001010
312022011101000221000
41322130031310022
513201334420340
6535500555430
7101622361521
oct17234156412
95264330830
102054216970
11964608683
12493b52b76
1326977b000
14156b6d4b8
15c0521d30
hex7a70dd0a

2054216970 has 128 divisors (see below), whose sum is σ = 5935910400. Its totient is φ = 505507392.

The previous prime is 2054216929. The next prime is 2054217017. The reversal of 2054216970 is 796124502.

2054216970 is a `hidden beast` number, since 20 + 542 + 1 + 6 + 97 + 0 = 666.

2054216970 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 591459 + ... + 594921.

It is an arithmetic number, because the mean of its divisors is an integer number (46374300).

Almost surely, 22054216970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054216970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967955200).

2054216970 is an abundant number, since it is smaller than the sum of its proper divisors (3881693430).

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

2054216970 is a wasteful number, since it uses less digits than its factorization.

2054216970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2054216970 is about 45323.4704099322. The cubic root of 2054216970 is about 1271.2045467168.

It can be divided in two parts, 2054 and 216970, that added together give a square (219024 = 4682).

The spelling of 2054216970 in words is "two billion, fifty-four million, two hundred sixteen thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 169 195 234 270 338 351 390 507 585 702 845 1014 1170 1521 1690 1755 2197 2535 3042 3463 3510 4394 4563 5070 6591 6926 7605 9126 10389 10985 13182 15210 17315 19773 20778 21970 22815 31167 32955 34630 39546 45019 45630 51945 59319 62334 65910 90038 93501 98865 103890 118638 135057 155835 187002 197730 225095 270114 296595 311670 405171 450190 467505 585247 593190 675285 810342 935010 1170494 1215513 1350570 1755741 2025855 2431026 2926235 3511482 4051710 5267223 5852470 6077565 7608211 8778705 10534446 12155130 15216422 15801669 17557410 22824633 26336115 31603338 38041055 45649266 52672230 68473899 76082110 79008345 114123165 136947798 158016690 205421697 228246330 342369495 410843394 684738990 1027108485 2054216970