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399819340784 = 241719912595867
BaseRepresentation
bin1011101000101110001…
…01101111101111110000
31102020000002121221010202
411310113011233233300
523022312222401114
6503401404014332
740612616215523
oct5642705575760
91366002557122
10399819340784
1114462065a466
12655a28313a8
132b91a0963b6
14154cc1b6bba
15a600b0ecde
hex5d1716fbf0

399819340784 has 80 divisors (see below), whose sum is σ = 825134688000. Its totient is φ = 187024223232.

The previous prime is 399819340757. The next prime is 399819340787. The reversal of 399819340784 is 487043918993.

It is a self number, because there is not a number n which added to its sum of digits gives 399819340784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399819340787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68144219 + ... + 68150085.

It is an arithmetic number, because the mean of its divisors is an integer number (10314183600).

Almost surely, 2399819340784 is an apocalyptic number.

399819340784 is a gapful number since it is divisible by the number (34) 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 399819340784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412567344000).

399819340784 is an abundant number, since it is smaller than the sum of its proper divisors (425315347216).

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

399819340784 is a wasteful number, since it uses less digits than its factorization.

399819340784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7350 (or 7344 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 65.

The spelling of 399819340784 in words is "three hundred ninety-nine billion, eight hundred nineteen million, three hundred forty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 17 34 68 136 199 272 398 796 1259 1592 2518 3184 3383 5036 5867 6766 10072 11734 13532 20144 21403 23468 27064 42806 46936 54128 85612 93872 99739 171224 199478 250541 342448 398956 501082 797912 1002164 1167533 1595824 2004328 2335066 4008656 4259197 4670132 7386553 8518394 9340264 14773106 17036788 18680528 19848061 29546212 34073576 39696122 59092424 68147152 79392244 118184848 125571401 158784488 251142802 317568976 502285604 1004571208 1469924047 2009142416 2939848094 5879696188 11759392376 23518784752 24988708799 49977417598 99954835196 199909670392 399819340784