Search a number
-
+
30971048064 = 273117332161
BaseRepresentation
bin11100110110000001…
…001011000010000000
32221221102111020220020
4130312001023002000
51001412042014224
622121121013440
72144330364525
oct346601130200
987842436806
1030971048064
11121533928a0
126004184280
132bc7606358
1416db3bb14c
15c13edbc79
hex73604b080

30971048064 has 64 divisors (see below), whose sum is σ = 89745662880. Its totient is φ = 9385164800.

The previous prime is 30971048063. The next prime is 30971048089. The reversal of 30971048064 is 46084017903.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (30971048063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3661857 + ... + 3670304.

Almost surely, 230971048064 is an apocalyptic number.

It is an amenable number.

30971048064 is an abundant number, since it is smaller than the sum of its proper divisors (58774614816).

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

30971048064 is a wasteful number, since it uses less digits than its factorization.

30971048064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7332189 (or 7332177 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 30971048064 in words is "thirty billion, nine hundred seventy-one million, forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 7332161 14664322 21996483 29328644 43992966 58657288 80653771 87985932 117314576 161307542 175971864 234629152 241961313 322615084 351943728 469258304 483922626 645230168 703887456 938516608 967845252 1290460336 1407774912 1935690504 2580920672 2815549824 3871381008 5161841344 7742762016 10323682688 15485524032 30971048064