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49942332000 = 25385311173
BaseRepresentation
bin101110100000110010…
…111000001001100000
311202220120022100000000
4232200302320021200
51304240214111000
634535421300000
73415421550321
oct564062701140
9152816270000
1049942332000
111a1a9165250
129819704600
13492bb2b352
1425babdc448
1514747a3000
hexba0cb8260

49942332000 has 864 divisors, whose sum is σ = 201945822624. Its totient is φ = 12037248000.

The previous prime is 49942331993. The next prime is 49942332059. The reversal of 49942332000 is 23324994.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 288683914 + ... + 288684086.

It is an arithmetic number, because the mean of its divisors is an integer number (233733591).

Almost surely, 249942332000 is an apocalyptic number.

49942332000 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 49942332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100972911312).

49942332000 is an abundant number, since it is smaller than the sum of its proper divisors (152003490624).

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

49942332000 is an equidigital number, since it uses as much as digits as its factorization.

49942332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 49942332000 its reverse (23324994), we get a palindrome (49965656994).

The spelling of 49942332000 in words is "forty-nine billion, nine hundred forty-two million, three hundred thirty-two thousand".