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47442780000 = 2533547211163
BaseRepresentation
bin101100001011110011…
…110101111101100000
311112110100221221021000
4230023303311331200
51234130322430000
633443411232000
73266450655600
oct541363657540
9145410857230
1047442780000
11191362378a0
1292405a8600
134621027ab5
142420c66c00
15137a115000
hexb0bcf5f60

47442780000 has 1440 divisors, whose sum is σ = 220775829120. Its totient is φ = 9797760000.

The previous prime is 47442779983. The next prime is 47442780031. The reversal of 47442780000 is 8724474.

It is a tau number, because it is divible by the number of its divisors (1440).

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 239 ways as a sum of consecutive naturals, for example, 291059919 + ... + 291060081.

It is an arithmetic number, because the mean of its divisors is an integer number (153316548).

Almost surely, 247442780000 is an apocalyptic number.

47442780000 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 47442780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110387914560).

47442780000 is an abundant number, since it is smaller than the sum of its proper divisors (173333049120).

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

47442780000 is a wasteful number, since it uses less digits than its factorization.

47442780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 47442780000 in words is "forty-seven billion, four hundred forty-two million, seven hundred eighty thousand".