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47891118240 = 2533572233971
BaseRepresentation
bin101100100110100010…
…000111100010100000
311120121121120212201000
4230212202013202200
51241040111240430
634000104512000
73313533534300
oct544642074240
9146547525630
1047891118240
1119346318a69
12934677b600
134692b922b4
142464611600
1513a4675e60
hexb268878a0

47891118240 has 576 divisors, whose sum is σ = 196023784320. Its totient is φ = 10888335360.

The previous prime is 47891118157. The next prime is 47891118257. The reversal of 47891118240 is 4281119874.

47891118240 is a `hidden beast` number, since 478 + 91 + 11 + 82 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49320955 + ... + 49321925.

It is an arithmetic number, because the mean of its divisors is an integer number (340319070).

Almost surely, 247891118240 is an apocalyptic number.

47891118240 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 47891118240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98011892160).

47891118240 is an abundant number, since it is smaller than the sum of its proper divisors (148132666080).

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

47891118240 is a wasteful number, since it uses less digits than its factorization.

47891118240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 47891118240 in words is "forty-seven billion, eight hundred ninety-one million, one hundred eighteen thousand, two hundred forty".