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46016410352032 = 257819318390557
BaseRepresentation
bin10100111011010000001111…
…10010101111100110100000
320000221010101202102211011201
422131220013302233212200
522012413102022231112
6241511351434050544
712456401355203641
oct1235500762574640
9200833352384151
1046016410352032
11137314a4aa892a
1251b2356879a54
131c8a437707c23
14b512c59376c8
1554bed4706257
hex29da07caf9a0

46016410352032 has 24 divisors (see below), whose sum is σ = 90595971411876. Its totient is φ = 23007909676032.

The previous prime is 46016410352021. The next prime is 46016410352051. The reversal of 46016410352032 is 23025301461064.

46016410352032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40211375467536 + 5805034884496 = 6341244^2 + 2409364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 46016410351982 and 46016410352000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6693103 + ... + 11697454.

Almost surely, 246016410352032 is an apocalyptic number.

It is an amenable number.

46016410352032 is a deficient number, since it is larger than the sum of its proper divisors (44579561059844).

46016410352032 is a wasteful number, since it uses less digits than its factorization.

46016410352032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18468760 (or 18468752 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 46016410352032 in words is "forty-six trillion, sixteen billion, four hundred ten million, three hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 78193 156386 312772 625544 1251088 2502176 18390557 36781114 73562228 147124456 294248912 588497824 1438012823501 2876025647002 5752051294004 11504102588008 23008205176016 46016410352032