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5219146360080 = 243552314978341
BaseRepresentation
bin100101111110010110101…
…0111010110010100010000
3200110221112021122200100000
41023330231113112110100
51141002302432010310
615033350455330000
71046033212042002
oct113745527262420
920427467580300
105219146360080
11173247806a444
12703609680900
132bb217c77093
14140872620372
1590b669e14c0
hex4bf2d5d6510

5219146360080 has 480 divisors, whose sum is σ = 19094640364800. Its totient is φ = 1322309007360.

The previous prime is 5219146360013. The next prime is 5219146360081. The reversal of 5219146360080 is 800636419125.

5219146360080 is a `hidden beast` number, since 5 + 2 + 1 + 9 + 1 + 4 + 636 + 0 + 0 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5219146360081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66581710 + ... + 66660050.

It is an arithmetic number, because the mean of its divisors is an integer number (39780500760).

Almost surely, 25219146360080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5219146360080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9547320182400).

5219146360080 is an abundant number, since it is smaller than the sum of its proper divisors (13875494004720).

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

5219146360080 is a wasteful number, since it uses less digits than its factorization.

5219146360080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78541 (or 78523 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 5219146360080 in words is "five trillion, two hundred nineteen billion, one hundred forty-six million, three hundred sixty thousand, eighty".