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473987038481712 = 2432731137149374159
BaseRepresentation
bin110101111000101101011010…
…1000011101000110100110000
32022011020201101200012020101200
41223301122311003220310300
5444111300423322403322
64400030350042131200
7201560301450336450
oct15361326503506460
92264221350166350
10473987038481712
111280328574518a8
12451b1a441b0b00
1317462a2a932c22
148509148c1dd60
1539be755c2e8ac
hex1af16b50e8d30

473987038481712 has 480 divisors, whose sum is σ = 1577409370767360. Its totient is φ = 130010815549440.

The previous prime is 473987038481651. The next prime is 473987038481731. The reversal of 473987038481712 is 217184830789374.

473987038481712 is a `hidden beast` number, since 4 + 7 + 3 + 9 + 8 + 70 + 3 + 8 + 481 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 6391460089 + ... + 6391534247.

It is an arithmetic number, because the mean of its divisors is an integer number (3286269522432).

Almost surely, 2473987038481712 is an apocalyptic number.

473987038481712 is a gapful number since it is divisible by the number (42) 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 473987038481712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788704685383680).

473987038481712 is an abundant number, since it is smaller than the sum of its proper divisors (1103422332285648).

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

473987038481712 is a wasteful number, since it uses less digits than its factorization.

473987038481712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75841 (or 75832 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 473987038481712 in words is "four hundred seventy-three trillion, nine hundred eighty-seven billion, thirty-eight million, four hundred eighty-one thousand, seven hundred twelve".