Search a number
-
+
46423433432464 = 24111590716581977
BaseRepresentation
bin10101000111000110011000…
…10000100100110110010000
320002101000222220011122100121
422203203030100210312100
522041100142424314324
6242422344135200024
712530660646253054
oct1243431420446620
9202330886148317
1046423433432464
1113879081a09530
125259209b16014
131cb993207075a
14b66c98743c64
155578a79775e4
hex2a38cc424d90

46423433432464 has 40 divisors (see below), whose sum is σ = 98128431440928. Its totient is φ = 21100232820480.

The previous prime is 46423433432447. The next prime is 46423433432473.

46423433432464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×464234334324642 (a number of 28 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, 5491357 + ... + 11090620.

Almost surely, 246423433432464 is an apocalyptic number.

46423433432464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46423433432464 is an abundant number, since it is smaller than the sum of its proper divisors (51704998008464).

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

46423433432464 is a wasteful number, since it uses less digits than its factorization.

46423433432464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16597903 (or 16597897 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 52.

The spelling of 46423433432464 in words is "forty-six trillion, four hundred twenty-three billion, four hundred thirty-three million, four hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 15907 31814 63628 127256 174977 254512 349954 699908 1399816 2799632 16581977 33163954 66327908 132655816 182401747 265311632 364803494 729606988 1459213976 2918427952 263769508139 527539016278 1055078032556 2110156065112 2901464589529 4220312130224 5802929179058 11605858358116 23211716716232 46423433432464