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46628246280 = 23357116182727
BaseRepresentation
bin101011011011010000…
…101001001100001000
311110100121021100001110
4223123100221030020
51230443312340110
633230513050320
73240330360660
oct533320511410
9143317240043
1046628246280
111885847a630
1290538569a0
134521356895
1423849d71a0
15132d86ba20
hexadb429308

46628246280 has 256 divisors, whose sum is σ = 177262940160. Its totient is φ = 9530035200.

The previous prime is 46628246233. The next prime is 46628246297. The reversal of 46628246280 is 8264282664.

It is a happy number.

It is a super-2 number, since 2×466282462802 (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 63 ways as a sum of consecutive naturals, for example, 522277 + ... + 605003.

It is an arithmetic number, because the mean of its divisors is an integer number (692433360).

Almost surely, 246628246280 is an apocalyptic number.

46628246280 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 46628246280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88631470080).

46628246280 is an abundant number, since it is smaller than the sum of its proper divisors (130634693880).

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

46628246280 is a wasteful number, since it uses less digits than its factorization.

46628246280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82820 (or 82816 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 46628246280 in words is "forty-six billion, six hundred twenty-eight million, two hundred forty-six thousand, two hundred eighty".