Search a number
-
+
209760022992 = 24313245235717
BaseRepresentation
bin1100001101011010101…
…0111111000111010000
3202001102112111020001110
43003112222333013100
511414042031213432
6240210141133320
721104022530352
oct3032652770720
9661375436043
10209760022992
1180a60078a03
12347a025a240
1316a1b396100
14a21c4170d2
1556ca22cdcc
hex30d6abf1d0

209760022992 has 120 divisors (see below), whose sum is σ = 587001920544. Its totient is φ = 64515988992.

The previous prime is 209760022973. The next prime is 209760023017. The reversal of 209760022992 is 299220067902.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36687718 + ... + 36693434.

Almost surely, 2209760022992 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 209760022992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293500960272).

209760022992 is an abundant number, since it is smaller than the sum of its proper divisors (377241897552).

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

209760022992 is a wasteful number, since it uses less digits than its factorization.

209760022992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10277 (or 10258 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 209760022992 in words is "two hundred nine billion, seven hundred sixty million, twenty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2704 4056 4523 5717 8112 9046 11434 13569 17151 18092 22868 27138 34302 36184 45736 54276 58799 68604 72368 74321 91472 108552 117598 137208 148642 176397 217104 222963 235196 274416 297284 352794 445926 470392 594568 705588 764387 891852 940784 966173 1189136 1411176 1528774 1783704 1932346 2293161 2822352 2898519 3057548 3567408 3864692 4586322 5797038 6115096 7729384 9172644 11594076 12230192 15458768 18345288 23188152 25857991 36690576 46376304 51715982 77573973 103431964 155147946 206863928 310295892 336153883 413727856 620591784 672307766 1008461649 1241183568 1344615532 2016923298 2689231064 4033846596 4370000479 5378462128 8067693192 8740000958 13110001437 16135386384 17480001916 26220002874 34960003832 52440005748 69920007664 104880011496 209760022992