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399949635072 = 2931324335831
BaseRepresentation
bin1011101000111101101…
…10110001111000000000
31102020100011210120022010
411310132312301320000
523023044101310242
6503422340412520
740616060543331
oct5643666617000
91366304716263
10399949635072
11144688162499
126561a3a7140
132b93b085b00
1415501612288
15a60c29a89c
hex5d1edb1e00

399949635072 has 240 divisors, whose sum is σ = 1180620828288. Its totient is φ = 120196177920.

The previous prime is 399949635031. The next prime is 399949635131. The reversal of 399949635072 is 270536949993.

It is a junction number, because it is equal to n+sod(n) for n = 399949634994 and 399949635012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11144197 + ... + 11180027.

Almost surely, 2399949635072 is an apocalyptic number.

399949635072 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 399949635072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590310414144).

399949635072 is an abundant number, since it is smaller than the sum of its proper divisors (780671193216).

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

399949635072 is a wasteful number, since it uses less digits than its factorization.

399949635072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35921 (or 35892 counting only the distinct ones).

The product of its (nonzero) digits is 99202320, while the sum is 66.

The spelling of 399949635072 in words is "three hundred ninety-nine billion, nine hundred forty-nine million, six hundred thirty-five thousand, seventy-two".