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422684620164 = 223419219012
BaseRepresentation
bin1100010011010011111…
…01110111010110000100
31111102000121200110210000
412021221331313112010
523411124230321124
6522102330201300
742352342663602
oct6115175672604
91442017613700
10422684620164
111532944a3274
1269b04283230
1330b22276201
141665ac36872
15aedd1ac6c9
hex6269f77584

422684620164 has 135 divisors (see below), whose sum is σ = 1166812668021. Its totient is φ = 133409138400.

The previous prime is 422684620109. The next prime is 422684620181. The reversal of 422684620164 is 461026486224.

The square root of 422684620164 is 650142.

It is a perfect power (a square), and thus also a powerful number.

422684620164 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 8 + 4 + 620 + 16 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35253066564 + 387431553600 = 187758^2 + 622440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 222347614 + ... + 222349514.

Almost surely, 2422684620164 is an apocalyptic number.

422684620164 is the 650142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422684620164

422684620164 is an abundant number, since it is smaller than the sum of its proper divisors (744128047857).

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

422684620164 is an equidigital number, since it uses as much as digits as its factorization.

422684620164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 422684620164 in words is "four hundred twenty-two billion, six hundred eighty-four million, six hundred twenty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 684 722 1026 1083 1444 1539 1901 2052 2166 3078 3249 3802 4332 5703 6156 6498 7604 9747 11406 12996 17109 19494 22812 29241 34218 36119 38988 51327 58482 68436 72238 102654 108357 116964 144476 153981 205308 216714 307962 325071 433428 615924 650142 686261 975213 1300284 1372522 1950426 2058783 2745044 2925639 3613801 3900852 4117566 5851278 6176349 7227602 8235132 10841403 11702556 12352698 14455204 18529047 21682806 24705396 32524209 37058094 43365612 55587141 65048418 68662219 74116188 97572627 111174282 130096836 137324438 195145254 205986657 222348564 274648876 292717881 390290508 411973314 585435762 617959971 823946628 1170871524 1235919942 1304582161 1853879913 2471839884 2609164322 3707759826 3913746483 5218328644 5561639739 7415519652 7827492966 11123279478 11741239449 15654985932 22246558956 23482478898 35223718347 46964957796 70447436694 105671155041 140894873388 211342310082 422684620164