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396255885480 = 23325713192389311
BaseRepresentation
bin1011100010000101011…
…00001111100010101000
31101212210202100122102200
411301002230033202220
522443013001313410
6502012030500200
740425406311150
oct5610254174250
91355722318380
10396255885480
11143062131784
1264969364660
132b49ca40170
1415270c1b760
15a492d6b3c0
hex5c42b0f8a8

396255885480 has 1536 divisors, whose sum is σ = 1766209536000. Its totient is φ = 74669506560.

The previous prime is 396255885463. The next prime is 396255885497. The reversal of 396255885480 is 84588552693.

396255885480 is a `hidden beast` number, since 3 + 9 + 6 + 2 + 5 + 5 + 88 + 548 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (396255885463) and next prime (396255885497).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 383 ways as a sum of consecutive naturals, for example, 1274134525 + ... + 1274134835.

It is an arithmetic number, because the mean of its divisors is an integer number (1149876000).

Almost surely, 2396255885480 is an apocalyptic number.

396255885480 is a gapful number since it is divisible by the number (30) 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 396255885480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883104768000).

396255885480 is an abundant number, since it is smaller than the sum of its proper divisors (1369953650520).

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

396255885480 is a wasteful number, since it uses less digits than its factorization.

396255885480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 396255885480 in words is "three hundred ninety-six billion, two hundred fifty-five million, eight hundred eighty-five thousand, four hundred eighty".