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42480882464 = 252996747339
BaseRepresentation
bin100111100100000011…
…101101001100100000
311001122120021102110012
4213210003231030200
51144000101214324
631303200424052
73032500354166
oct474403551440
9131576242405
1042480882464
111701a394829
128296918028
13401004a157
1420adc83236
1511896d820e
hex9e40ed320

42480882464 has 48 divisors (see below), whose sum is σ = 86609476800. Its totient is φ = 20486371584.

The previous prime is 42480882359. The next prime is 42480882487. The reversal of 42480882464 is 46428808424.

It is a super-2 number, since 2×424808824642 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 873707 + ... + 921045.

It is an arithmetic number, because the mean of its divisors is an integer number (1804364100).

Almost surely, 242480882464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42480882464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43304738400).

42480882464 is an abundant number, since it is smaller than the sum of its proper divisors (44128594336).

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

42480882464 is a wasteful number, since it uses less digits than its factorization.

42480882464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48345 (or 48337 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 50.

The spelling of 42480882464 in words is "forty-two billion, four hundred eighty million, eight hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 967 1934 3868 7736 15472 28043 30944 47339 56086 94678 112172 189356 224344 378712 448688 757424 897376 1372831 1514848 2745662 5491324 10982648 21965296 43930592 45776813 91553626 183107252 366214504 732429008 1327527577 1464858016 2655055154 5310110308 10620220616 21240441232 42480882464