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49564119360 = 2635723141829
BaseRepresentation
bin101110001010010000…
…000111000101000000
311201221012122010210110
4232022100013011000
51303001403304420
634434111031320
73403150030500
oct561220070500
9151835563713
1049564119360
111a024720518
129732b0b540
13489b6778a2
1425828a9a00
151451494ee0
hexb8a407140

49564119360 has 672 divisors, whose sum is σ = 193805982720. Its totient is φ = 10683187200.

The previous prime is 49564119323. The next prime is 49564119457. The reversal of 49564119360 is 6391146594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59787426 + ... + 59788254.

It is an arithmetic number, because the mean of its divisors is an integer number (288401760).

Almost surely, 249564119360 is an apocalyptic number.

49564119360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49564119360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96902991360).

49564119360 is an abundant number, since it is smaller than the sum of its proper divisors (144241863360).

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

49564119360 is a wasteful number, since it uses less digits than its factorization.

49564119360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 49564119360 in words is "forty-nine billion, five hundred sixty-four million, one hundred nineteen thousand, three hundred sixty".