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42817254880 = 2551132368211
BaseRepresentation
bin100111111000000110…
…110111010111100000
311002112000012220122211
4213320012313113200
51200142204124010
631400414211504
73044023442611
oct477006672740
9132460186584
1042817254880
1117182251364
12836b4b3b94
13406494159a
142102803c08
1511a8ece08a
hex9f81b75e0

42817254880 has 48 divisors (see below), whose sum is σ = 102050991504. Its totient is φ = 16975329280.

The previous prime is 42817254869. The next prime is 42817254899. The reversal of 42817254880 is 8845271824.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 1166026 + ... + 1202185.

It is an arithmetic number, because the mean of its divisors is an integer number (2126062323).

Almost surely, 242817254880 is an apocalyptic number.

42817254880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42817254880 is an abundant number, since it is smaller than the sum of its proper divisors (59233736624).

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

42817254880 is a wasteful number, since it uses less digits than its factorization.

42817254880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368339 (or 2368331 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 49.

The spelling of 42817254880 in words is "forty-two billion, eight hundred seventeen million, two hundred fifty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 9040 18080 2368211 4736422 9472844 11841055 18945688 23682110 37891376 47364220 75782752 94728440 189456880 267607843 378913760 535215686 1070431372 1338039215 2140862744 2676078430 4281725488 5352156860 8563450976 10704313720 21408627440 42817254880