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42550020520 = 2357614096091
BaseRepresentation
bin100111101000001011…
…011100100110101000
311001211101101000000221
4213220023130212220
51144120301124040
631314110335424
73034300130650
oct475013344650
9131741330027
1042550020520
1117055417217
1282b5aba574
134021476547
1420b911d360
1511907e374a
hex9e82dc9a8

42550020520 has 128 divisors (see below), whose sum is σ = 111498220800. Its totient is φ = 14311987200.

The previous prime is 42550020479. The next prime is 42550020529. The reversal of 42550020520 is 2502005524.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42550020529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6982675 + ... + 6988765.

It is an arithmetic number, because the mean of its divisors is an integer number (871079850).

Almost surely, 242550020520 is an apocalyptic number.

42550020520 is a gapful number since it is divisible by the number (40) 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 42550020520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55749110400).

42550020520 is an abundant number, since it is smaller than the sum of its proper divisors (68948200280).

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

42550020520 is a wasteful number, since it uses less digits than its factorization.

42550020520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6579 (or 6575 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The spelling of 42550020520 in words is "forty-two billion, five hundred fifty million, twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 409 427 488 610 818 854 1220 1636 1708 2045 2135 2440 2863 3272 3416 4090 4270 5726 6091 8180 8540 11452 12182 14315 16360 17080 22904 24364 24949 28630 30455 42637 48728 49898 57260 60910 85274 99796 114520 121820 124745 170548 174643 199592 213185 243640 249490 341096 349286 371551 426370 498980 698572 743102 852740 873215 997960 1397144 1486204 1705480 1746430 1857755 2491219 2600857 2972408 3492860 3715510 4982438 5201714 6985720 7431020 9964876 10403428 12456095 13004285 14862040 17438533 19929752 20806856 24912190 26008570 34877066 49824380 52017140 69754132 87192665 99648760 104034280 139508264 151964359 174385330 303928718 348770660 607857436 697541320 759821795 1063750513 1215714872 1519643590 2127501026 3039287180 4255002052 5318752565 6078574360 8510004104 10637505130 21275010260 42550020520