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46044860640 = 253595926793
BaseRepresentation
bin101010111000011111…
…001101000011100000
311101211221112021101220
4222320133031003200
51223244441020030
633052553055040
73220014600132
oct527037150340
9141757467356
1046044860640
111858913a339
128b103b7480
13445a52738c
14232b337052
1512e7531a10
hexab87cd0e0

46044860640 has 48 divisors (see below), whose sum is σ = 145041312528. Its totient is φ = 12278629376.

The previous prime is 46044860627. The next prime is 46044860647. The reversal of 46044860640 is 4606844064.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 46044860592 and 46044860601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46044860647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47962917 + ... + 47963876.

It is an arithmetic number, because the mean of its divisors is an integer number (3021694011).

Almost surely, 246044860640 is an apocalyptic number.

46044860640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46044860640 is an abundant number, since it is smaller than the sum of its proper divisors (98996451888).

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

46044860640 is a wasteful number, since it uses less digits than its factorization.

46044860640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95926811 (or 95926803 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 46044860640 in words is "forty-six billion, forty-four million, eight hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 95926793 191853586 287780379 383707172 479633965 575560758 767414344 959267930 1151121516 1438901895 1534828688 1918535860 2302243032 2877803790 3069657376 3837071720 4604486064 5755607580 7674143440 9208972128 11511215160 15348286880 23022430320 46044860640