Search a number
-
+
20454003755880 = 2335893974824103
BaseRepresentation
bin1001010011010010100011…
…01000001100101101101000
32200102101100200121220211020
410221221101220030231220
510140104244430142010
6111300234542132440
74210516165204212
oct451512150145550
980371320556736
1020454003755880
116576548981542
122364158581120
13b54a5bcc9bc6
14509d9c7a15b2
152570c788c470
hex129a51a0cb68

20454003755880 has 128 divisors (see below), whose sum is σ = 62207785900800. Its totient is φ = 5379529807872.

The previous prime is 20454003755869. The next prime is 20454003756023. The reversal of 20454003755880 is 8855730045402.

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, 1827909 + ... + 6652011.

It is an arithmetic number, because the mean of its divisors is an integer number (485998327350).

Almost surely, 220454003755880 is an apocalyptic number.

20454003755880 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 20454003755880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31103892950400).

20454003755880 is an abundant number, since it is smaller than the sum of its proper divisors (41753782144920).

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

20454003755880 is a wasteful number, since it uses less digits than its factorization.

20454003755880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4824603 (or 4824599 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 51.

The spelling of 20454003755880 in words is "twenty trillion, four hundred fifty-four billion, three million, seven hundred fifty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 397 445 534 712 794 890 1068 1191 1335 1588 1780 1985 2136 2382 2670 3176 3560 3970 4764 5340 5955 7940 9528 10680 11910 15880 23820 35333 47640 70666 105999 141332 176665 211998 282664 353330 423996 529995 706660 847992 1059990 1413320 2119980 4239960 4824103 9648206 14472309 19296412 24120515 28944618 38592824 48241030 57889236 72361545 96482060 115778472 144723090 192964120 289446180 429345167 578892360 858690334 1288035501 1717380668 1915168891 2146725835 2576071002 3434761336 3830337782 4293451670 5152142004 5745506673 6440177505 7660675564 8586903340 9575844455 10304284008 11491013346 12880355010 15321351128 17173806680 19151688910 22982026692 25760710020 28727533365 38303377820 45964053384 51521420040 57455066730 76606755640 114910133460 170450031299 229820266920 340900062598 511350093897 681800125196 852250156495 1022700187794 1363600250392 1704500312990 2045400375588 2556750469485 3409000625980 4090800751176 5113500938970 6818001251960 10227001877940 20454003755880