Search a number
-
+
42880710528 = 273410738653
BaseRepresentation
bin100111111011111000…
…111011011110000000
311002200102121210110000
4213323320323132000
51200304430214103
631411002240000
73045424011525
oct477370733600
9132612553400
1042880710528
1117205052547
1283887b6000
134074b2b3c6
14210b00114c
1511ae865aa3
hex9fbe3b780

42880710528 has 160 divisors (see below), whose sum is σ = 128808270360. Its totient is φ = 14159619072.

The previous prime is 42880710527. The next prime is 42880710533. The reversal of 42880710528 is 82501708824.

It is a happy number.

42880710528 is a `hidden beast` number, since 42 + 8 + 80 + 7 + 1 + 0 + 528 = 666.

It is a super-2 number, since 2×428807105282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42880710527) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1090050 + ... + 1128702.

Almost surely, 242880710528 is an apocalyptic number.

42880710528 is a gapful number since it is divisible by the number (48) 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 42880710528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64404135180).

42880710528 is an abundant number, since it is smaller than the sum of its proper divisors (85927559832).

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

42880710528 is a wasteful number, since it uses less digits than its factorization.

42880710528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38786 (or 38765 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 42880710528 in words is "forty-two billion, eight hundred eighty million, seven hundred ten thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 107 108 128 144 162 192 214 216 288 321 324 384 428 432 576 642 648 856 864 963 1152 1284 1296 1712 1728 1926 2568 2592 2889 3424 3456 3852 5136 5184 5778 6848 7704 8667 10272 10368 11556 13696 15408 17334 20544 23112 30816 34668 38653 41088 46224 61632 69336 77306 92448 115959 123264 138672 154612 184896 231918 277344 309224 347877 369792 463836 554688 618448 695754 927672 1043631 1109376 1236896 1391508 1855344 2087262 2473792 2783016 3130893 3710688 4135871 4174524 4947584 5566032 6261786 7421376 8271742 8349048 11132064 12407613 12523572 14842752 16543484 16698096 22264128 24815226 25047144 33086968 33396192 37222839 44528256 49630452 50094288 66173936 66792384 74445678 99260904 100188576 111668517 132347872 133584768 148891356 198521808 200377152 223337034 264695744 297782712 335005551 397043616 400754304 446674068 529391488 595565424 670011102 794087232 893348136 1191130848 1340022204 1588174464 1786696272 2382261696 2680044408 3573392544 4764523392 5360088816 7146785088 10720177632 14293570176 21440355264 42880710528