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396195541632 = 273211171996797
BaseRepresentation
bin1011100001111110001…
…10000011001010000000
31101212122112210212020100
411300333012003022000
522442402024313012
6502002033242400
740424044352442
oct5607706031200
91355575725210
10396195541632
11143031066530
1264951103400
132b4903a2847
1415266bd0492
15a48c8eb8dc
hex5c3f183280

396195541632 has 384 divisors, whose sum is σ = 1386224798400. Its totient is φ = 107048632320.

The previous prime is 396195541627. The next prime is 396195541739. The reversal of 396195541632 is 236145591693.

396195541632 is a `hidden beast` number, since 3 + 9 + 6 + 1 + 95 + 541 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4044658 + ... + 4141454.

Almost surely, 2396195541632 is an apocalyptic number.

396195541632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396195541632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693112399200).

396195541632 is an abundant number, since it is smaller than the sum of its proper divisors (990029256768).

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

396195541632 is a wasteful number, since it uses less digits than its factorization.

396195541632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96864 (or 96849 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The spelling of 396195541632 in words is "three hundred ninety-six billion, one hundred ninety-five million, five hundred forty-one thousand, six hundred thirty-two".