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399076332480 = 263257311135651
BaseRepresentation
bin1011100111010101100…
…11011001001111000000
31102011002022112012100200
411303222303121033000
523014302020114410
6503155542445200
740555324566540
oct5635263311700
91364068465320
10399076332480
1114427a205311
1265415a33800
132b82c179107
141545b645320
15a5aa7943c0
hex5ceacd93c0

399076332480 has 672 divisors, whose sum is σ = 1633974571008. Its totient is φ = 87478272000.

The previous prime is 399076332467. The next prime is 399076332509. The reversal of 399076332480 is 84233670993.

399076332480 is a `hidden beast` number, since 3 + 9 + 90 + 76 + 3 + 3 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70617655 + ... + 70623305.

Almost surely, 2399076332480 is an apocalyptic number.

399076332480 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 399076332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816987285504).

399076332480 is an abundant number, since it is smaller than the sum of its proper divisors (1234898238528).

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

399076332480 is a wasteful number, since it uses less digits than its factorization.

399076332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5825 (or 5812 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 399076332480 in words is "three hundred ninety-nine billion, seventy-six million, three hundred thirty-two thousand, four hundred eighty".