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49125804840 = 23325759330413
BaseRepresentation
bin101101110000001000…
…000100101100101000
311200210122212110022100
4231300020010230220
51301102201223330
634322412253400
73356245310550
oct556010045450
9150718773270
1049125804840
111991a266312
129630171260
13482b90c998
1425405b0160
151427c64060
hexb70204b28

49125804840 has 192 divisors, whose sum is σ = 185560502400. Its totient is φ = 11038404096.

The previous prime is 49125804821. The next prime is 49125804841. The reversal of 49125804840 is 4840852194.

49125804840 is a `hidden beast` number, since 4 + 91 + 2 + 5 + 80 + 484 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (49125804841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16527 + ... + 313886.

It is an arithmetic number, because the mean of its divisors is an integer number (966460950).

Almost surely, 249125804840 is an apocalyptic number.

49125804840 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 49125804840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92780251200).

49125804840 is an abundant number, since it is smaller than the sum of its proper divisors (136434697560).

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

49125804840 is a wasteful number, since it uses less digits than its factorization.

49125804840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330496 (or 330489 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 49125804840 in words is "forty-nine billion, one hundred twenty-five million, eight hundred four thousand, eight hundred forty".