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4116741680 = 24575168521
BaseRepresentation
bin1111010101100000…
…0111111000110000
3101121220101010221002
43311120013320300
531412341213210
61520300021132
7204005504222
oct36530077060
911556333832
104116741680
11182287aa57
1296a8317a8
13507b7752c
142b0a62412
151916354a5
hexf5607e30

4116741680 has 40 divisors (see below), whose sum is σ = 9584309184. Its totient is φ = 1644480000.

The previous prime is 4116741637. The next prime is 4116741683. The reversal of 4116741680 is 861476114.

4116741680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (4116741683) 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, 25820 + ... + 94340.

Almost surely, 24116741680 is an apocalyptic number.

4116741680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4116741680 is an abundant number, since it is smaller than the sum of its proper divisors (5467567504).

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

4116741680 is a wasteful number, since it uses less digits than its factorization.

4116741680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69285 (or 69279 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 4116741680 is about 64161.8397491842. The cubic root of 4116741680 is about 1602.6961936187.

The spelling of 4116741680 in words is "four billion, one hundred sixteen million, seven hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 751 1502 3004 3755 6008 7510 12016 15020 30040 60080 68521 137042 274084 342605 548168 685210 1096336 1370420 2740840 5481680 51459271 102918542 205837084 257296355 411674168 514592710 823348336 1029185420 2058370840 4116741680