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46880648901 = 3241433293413
BaseRepresentation
bin101011101010010011…
…011110111011000101
311111000012012201100200
4223222103132323011
51232002421231101
633311531001113
73246513640452
oct535223367305
9144005181320
1046880648901
11189779a4439
129104299199
13456172aa48
1423aa33a829
151345ac7986
hexaea4deec5

46880648901 has 24 divisors (see below), whose sum is σ = 69528555096. Its totient is φ = 30420956160.

The previous prime is 46880648879. The next prime is 46880648917. The reversal of 46880648901 is 10984608864.

It can be written as a sum of positive squares in 4 ways, for example, as 1262096676 + 45618552225 = 35526^2 + 213585^2 .

It is not a de Polignac number, because 46880648901 - 221 = 46878551749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46880648921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13071 + ... + 306483.

It is an arithmetic number, because the mean of its divisors is an integer number (2897023129).

Almost surely, 246880648901 is an apocalyptic number.

46880648901 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

46880648901 is a deficient number, since it is larger than the sum of its proper divisors (22647906195).

46880648901 is a wasteful number, since it uses less digits than its factorization.

46880648901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293893 (or 293890 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 46880648901 in words is "forty-six billion, eight hundred eighty million, six hundred forty-eight thousand, nine hundred one".

Divisors: 1 3 9 41 123 369 433 1299 3897 17753 53259 159777 293413 880239 2640717 12029933 36089799 108269397 127047829 381143487 1143430461 5208960989 15626882967 46880648901