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46268406408 = 2337239343883
BaseRepresentation
bin101011000101110011…
…111101101010001000
311102102112011120112210
4223011303331222020
51224224203001113
633131100305120
73225400652100
oct530563755210
9142375146483
1046268406408
1118693344604
128b732421a0
134494936993
14234ccc8200
15130be8c6c3
hexac5cfda88

46268406408 has 48 divisors (see below), whose sum is σ = 134556083280. Its totient is φ = 13219544352.

The previous prime is 46268406403. The next prime is 46268406419. The reversal of 46268406408 is 80460486264.

It is not an unprimeable number, because it can be changed into a prime (46268406403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 19670766 + ... + 19673117.

It is an arithmetic number, because the mean of its divisors is an integer number (2803251735).

Almost surely, 246268406408 is an apocalyptic number.

It is an amenable number.

46268406408 is an abundant number, since it is smaller than the sum of its proper divisors (88287676872).

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

46268406408 is a wasteful number, since it uses less digits than its factorization.

46268406408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39343906 (or 39343895 counting only the distinct ones).

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

It can be divided in two parts, 46268 and 406408, that added together give a triangular number (452676 = T951).

The spelling of 46268406408 in words is "forty-six billion, two hundred sixty-eight million, four hundred six thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 39343883 78687766 118031649 157375532 236063298 275407181 314751064 472126596 550814362 826221543 944253192 1101628724 1652443086 1927850267 2203257448 3304886172 3855700534 5783550801 6609772344 7711401068 11567101602 15422802136 23134203204 46268406408