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1474007383680 = 2735133110917477
BaseRepresentation
bin10101011100110001101…
…011111011111010000000
312012220200002221102022020
4111130301223323322000
5143122231342234210
63045052153441440
7211331164015026
oct25346153737200
95186602842266
101474007383680
11519139816aa7
121b980a110280
13a8cc9359970
14514b1538716
15285204a3770
hex15731afbe80

1474007383680 has 512 divisors, whose sum is σ = 5271252940800. Its totient is φ = 347887042560.

The previous prime is 1474007383661. The next prime is 1474007383697. The reversal of 1474007383680 is 863837004741.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84331102 + ... + 84348578.

It is an arithmetic number, because the mean of its divisors is an integer number (10295415900).

Almost surely, 21474007383680 is an apocalyptic number.

1474007383680 is a gapful number since it is divisible by the number (10) 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 1474007383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635626470400).

1474007383680 is an abundant number, since it is smaller than the sum of its proper divisors (3797245557120).

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

1474007383680 is a wasteful number, since it uses less digits than its factorization.

1474007383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17652 (or 17640 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 1474007383680 in words is "one trillion, four hundred seventy-four billion, seven million, three hundred eighty-three thousand, six hundred eighty".