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2132464416 = 253167133013
BaseRepresentation
bin111111100011010…
…1101001100100000
312111121121102020120
41333012231030200
513331402330131
6551334040240
7103562435265
oct17706551440
95447542216
102132464416
119a47a2095
124b61a9080
1327ca46784
141632db26c
15c732b496
hex7f1ad320

2132464416 has 48 divisors (see below), whose sum is σ = 5631280704. Its totient is φ = 706559744.

The previous prime is 2132464391. The next prime is 2132464423. The reversal of 2132464416 is 6144642312.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50475 + ... + 82538.

It is an arithmetic number, because the mean of its divisors is an integer number (117318348).

Almost surely, 22132464416 is an apocalyptic number.

It is an amenable number.

2132464416 is an abundant number, since it is smaller than the sum of its proper divisors (3498816288).

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

2132464416 is a wasteful number, since it uses less digits than its factorization.

2132464416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133193 (or 133185 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 2132464416 is about 46178.6142711104. The cubic root of 2132464416 is about 1287.1443785601.

The spelling of 2132464416 in words is "two billion, one hundred thirty-two million, four hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1336 2004 2672 4008 5344 8016 16032 133013 266026 399039 532052 798078 1064104 1596156 2128208 3192312 4256416 6384624 12769248 22213171 44426342 66639513 88852684 133279026 177705368 266558052 355410736 533116104 710821472 1066232208 2132464416