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47908808640 = 263357112331101
BaseRepresentation
bin101100100111100101…
…100110011111000000
311120122211212122101000
4230213211212133000
51241104123334030
634001540012000
73314140103640
oct544745463700
9146584778330
1047908808640
1119355301030
129350691000
1346967473a4
142466ad8520
1513a5ebc860
hexb279667c0

47908808640 has 1792 divisors, whose sum is σ = 229217402880. Its totient is φ = 9123840000.

The previous prime is 47908808627. The next prime is 47908808641. The reversal of 47908808640 is 4680880974.

47908808640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47908808641) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 474344590 + ... + 474344690.

Almost surely, 247908808640 is an apocalyptic number.

47908808640 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 47908808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114608701440).

47908808640 is an abundant number, since it is smaller than the sum of its proper divisors (181308594240).

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

47908808640 is a wasteful number, since it uses less digits than its factorization.

47908808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 47908808640 in words is "forty-seven billion, nine hundred eight million, eight hundred eight thousand, six hundred forty".