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4121732064 = 253296914461
BaseRepresentation
bin1111010110101100…
…1010001111100000
3101122020202200110010
43311223022033200
531420130411224
61520555004520
7204066100362
oct36553121740
911566680403
104121732064
11182567933a
12970439740
13508c03b18
142b15a0d32
15191cbde29
hexf5aca3e0

4121732064 has 48 divisors (see below), whose sum is σ = 10823939280. Its totient is φ = 1373352960.

The previous prime is 4121732057. The next prime is 4121732071. The reversal of 4121732064 is 4602371214.

It is an interprime number because it is at equal distance from previous prime (4121732057) and next prime (4121732071).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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, 277794 + ... + 292254.

It is an arithmetic number, because the mean of its divisors is an integer number (225498735).

Almost surely, 24121732064 is an apocalyptic number.

It is an amenable number.

4121732064 is an abundant number, since it is smaller than the sum of its proper divisors (6702207216).

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

4121732064 is a wasteful number, since it uses less digits than its factorization.

4121732064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17443 (or 17435 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4121732064 is about 64200.7170053419. The cubic root of 4121732064 is about 1603.3435372738.

The spelling of 4121732064 in words is "four billion, one hundred twenty-one million, seven hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2969 5938 8907 11876 14461 17814 23752 28922 35628 43383 47504 57844 71256 86766 95008 115688 142512 173532 231376 285024 347064 462752 694128 1388256 42934709 85869418 128804127 171738836 257608254 343477672 515216508 686955344 1030433016 1373910688 2060866032 4121732064