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47679840000 = 28345413283
BaseRepresentation
bin101100011001111100…
…001001111100000000
311120001220000211110000
4230121330021330000
51240122014340000
633523120240000
73305356644612
oct543174117400
9146056024400
1047679840000
1119248032551
1292a7a70000
13465b1896a0
142444534db2
151390d40000
hexb19f09f00

47679840000 has 900 divisors, whose sum is σ = 192001083736. Its totient is φ = 11695104000.

The previous prime is 47679839953. The next prime is 47679840017. The reversal of 47679840000 is 4897674.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 168479859 + ... + 168480141.

Almost surely, 247679840000 is an apocalyptic number.

47679840000 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 47679840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96000541868).

47679840000 is an abundant number, since it is smaller than the sum of its proper divisors (144321243736).

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

47679840000 is an equidigital number, since it uses as much as digits as its factorization.

47679840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 47679840000 in words is "forty-seven billion, six hundred seventy-nine million, eight hundred forty thousand".