Search a number
-
+
20354478543280 = 2457307331357689
BaseRepresentation
bin1001010000011001001010…
…11101101001000110110000
32200001212110121101021110001
410220030211131221012300
510131441433001341110
6111142415055315344
74200363644643430
oct450144535510660
980055417337401
1020354478543280
116538316552222
122348a0181bb54
13b4855a98566b
1450523a8122c0
1525470018a63a
hex1283257691b0

20354478543280 has 160 divisors (see below), whose sum is σ = 54425011576320. Its totient is φ = 6934912174080.

The previous prime is 20354478543247. The next prime is 20354478543293. The reversal of 20354478543280 is 8234587445302.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56726676 + ... + 57084364.

It is an arithmetic number, because the mean of its divisors is an integer number (340156322352).

Almost surely, 220354478543280 is an apocalyptic number.

20354478543280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20354478543280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27212505788160).

20354478543280 is an abundant number, since it is smaller than the sum of its proper divisors (34070533033040).

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

20354478543280 is a wasteful number, since it uses less digits than its factorization.

20354478543280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358347 (or 358341 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 55.

The spelling of 20354478543280 in words is "twenty trillion, three hundred fifty-four billion, four hundred seventy-eight million, five hundred forty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 307 331 560 614 662 1228 1324 1535 1655 2149 2317 2456 2648 3070 3310 4298 4634 4912 5296 6140 6620 8596 9268 10745 11585 12280 13240 17192 18536 21490 23170 24560 26480 34384 37072 42980 46340 85960 92680 101617 171920 185360 203234 357689 406468 508085 711319 715378 812936 1016170 1422638 1430756 1625872 1788445 2032340 2503823 2845276 2861512 3556595 3576890 4064680 5007646 5690552 5723024 7113190 7153780 8129360 10015292 11381104 12519115 14226380 14307560 20030584 25038230 28452760 28615120 40061168 50076460 56905520 100152920 109810523 118395059 200305840 219621046 236790118 439242092 473580236 549052615 591975295 768673661 828765413 878484184 947160472 1098105230 1183950590 1537347322 1657530826 1756968368 1894320944 2196210460 2367901180 3074694644 3315061652 3843368305 4143827065 4392420920 4735802360 6149389288 6630123304 7686736610 8287654130 8784841840 9471604720 12298778576 13260246608 15373473220 16575308260 30746946440 33150616520 36347283113 61493892880 66301233040 72694566226 145389132452 181736415565 254430981791 290778264904 363472831130 508861963582 581556529808 726945662260 1017723927164 1272154908955 1453891324520 2035447854328 2544309817910 2907782649040 4070895708656 5088619635820 10177239271640 20354478543280