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399269227812480 = 27345173143714787
BaseRepresentation
bin101101011001000100001110…
…0011111100101011010000000
31221100200202122222110121220000
41122302020130133211122000
5404313111334304444410
63533101430122520000
7150046151446551354
oct13262103437453200
91840622588417800
10399269227812480
1110624614619a073
1238945074666000
13141a2c07a5323c
147084a3b52d464
153125d9776adc0
hex16b221c7e5680

399269227812480 has 2560 divisors, whose sum is σ = 1617478807633920. Its totient is φ = 93367340236800.

The previous prime is 399269227812461. The next prime is 399269227812503. The reversal of 399269227812480 is 84218722962993.

399269227812480 is a `hidden beast` number, since 3 + 9 + 9 + 2 + 69 + 2 + 2 + 7 + 81 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 399269227812399 and 399269227812408.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 83406980647 + ... + 83406985433.

It is an arithmetic number, because the mean of its divisors is an integer number (631827659232).

Almost surely, 2399269227812480 is an apocalyptic number.

399269227812480 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 399269227812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808739403816960).

399269227812480 is an abundant number, since it is smaller than the sum of its proper divisors (1218209579821440).

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

399269227812480 is a wasteful number, since it uses less digits than its factorization.

399269227812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4980 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 399269227812480 in words is "three hundred ninety-nine trillion, two hundred sixty-nine billion, two hundred twenty-seven million, eight hundred twelve thousand, four hundred eighty".