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4117219480 = 235119357317
BaseRepresentation
bin1111010101100111…
…1100100010011000
3101121221021102100101
43311121330202120
531413002010410
61520314145144
7204012534223
oct36531744230
911557242311
104117219480
111823076a30
1296aa221b4
13507cb3b5a
142b0b485ba
151916cbd3a
hexf567c898

4117219480 has 32 divisors (see below), whose sum is σ = 10105903440. Its totient is φ = 1497170560.

The previous prime is 4117219453. The next prime is 4117219487. The reversal of 4117219480 is 849127114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4117219487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4678219 + ... + 4679098.

Almost surely, 24117219480 is an apocalyptic number.

4117219480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4117219480 is an abundant number, since it is smaller than the sum of its proper divisors (5988683960).

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

4117219480 is a wasteful number, since it uses less digits than its factorization.

4117219480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9357339 (or 9357335 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 4117219480 is about 64165.5630381282. The cubic root of 4117219480 is about 1602.7581956159.

It can be divided in two parts, 411721 and 9480, that added together give a square (421201 = 6492).

The spelling of 4117219480 in words is "four billion, one hundred seventeen million, two hundred nineteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 9357317 18714634 37429268 46786585 74858536 93573170 102930487 187146340 205860974 374292680 411721948 514652435 823443896 1029304870 2058609740 4117219480