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49195970880 = 2635717499863
BaseRepresentation
bin101101110100010011…
…101111000101000000
311200222112220021000120
4231310103233011000
51301223132032010
634333400220240
73361056565350
oct556423570500
9150875807016
1049195970880
1119955930081
12964b76a680
134840308c54
142549a36b60
15142dec3e70
hexb744ef140

49195970880 has 448 divisors, whose sum is σ = 189609984000. Its totient is φ = 10549886976.

The previous prime is 49195970869. The next prime is 49195970917. The reversal of 49195970880 is 8807959194.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 57005329 + ... + 57006191.

Almost surely, 249195970880 is an apocalyptic number.

49195970880 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 49195970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94804992000).

49195970880 is an abundant number, since it is smaller than the sum of its proper divisors (140414013120).

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

49195970880 is a wasteful number, since it uses less digits than its factorization.

49195970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 60.

The spelling of 49195970880 in words is "forty-nine billion, one hundred ninety-five million, nine hundred seventy thousand, eight hundred eighty".