Search a number
-
+
470980450668 = 22372132193691
BaseRepresentation
bin1101101101010001001…
…11110101100101101100
31200000200102210212100010
412312220213311211230
530204031443410133
61000210533333220
746012222530300
oct6665047654554
91600612725303
10470980450668
11171818205582
1277342497210
133554ac39900
1418b1d0b7d00
15c3b8128263
hex6da89f596c

470980450668 has 432 divisors, whose sum is σ = 1463284045440. Its totient is φ = 117506712960.

The previous prime is 470980450651. The next prime is 470980450693. The reversal of 470980450668 is 866054089074.

It is a super-2 number, since 2×4709804506682 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 681592203 + ... + 681592893.

Almost surely, 2470980450668 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 470980450668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731642022720).

470980450668 is an abundant number, since it is smaller than the sum of its proper divisors (992303594772).

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

470980450668 is a wasteful number, since it uses less digits than its factorization.

470980450668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 470980450668 in words is "four hundred seventy billion, nine hundred eighty million, four hundred fifty thousand, six hundred sixty-eight".