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399120222021993 = 332312737091364431
BaseRepresentation
bin101101010111111110110101…
…1000011100110100101101001
31221100011112001111210012002000
41122233331223003212211221
5404303141203314200433
63532505144311401213
7150032325112333203
oct13257755303464551
91840145044705060
10399120222021993
11106198a3231a27a
123892020a983209
1314191b4c464444
14707b743c1d773
1531220760c7113
hex16aff6b0e6969

399120222021993 has 64 divisors (see below), whose sum is σ = 622023809433600. Its totient is φ = 252439154130240.

The previous prime is 399120222021959. The next prime is 399120222022003.

399120222021993 is a `hidden beast` number, since 39 + 91 + 2 + 0 + 2 + 220 + 219 + 93 = 666.

399120222021993 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 399120222021993 - 212 = 399120222017897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (399120222021953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291835488 + ... + 293199918.

It is an arithmetic number, because the mean of its divisors is an integer number (9719122022400).

Almost surely, 2399120222021993 is an apocalyptic number.

It is an amenable number.

399120222021993 is a deficient number, since it is larger than the sum of its proper divisors (222903587411607).

399120222021993 is a wasteful number, since it uses less digits than its factorization.

399120222021993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368299 (or 1368293 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 399120222021993 in words is "three hundred ninety-nine trillion, one hundred twenty billion, two hundred twenty-two million, twenty-one thousand, nine hundred ninety-three".

Divisors: 1 3 9 23 27 69 127 207 381 621 1143 2921 3429 3709 8763 11127 26289 33381 78867 85307 100143 255921 471043 767763 1364431 1413129 2303289 4093293 4239387 10833989 12279879 12718161 31381913 32501967 36839637 94145739 97505901 173282737 282437217 292517703 519848211 847311651 1559544633 3985502951 4678633899 5060674579 11956508853 15182023737 35869526559 45546071211 107608579677 116395515317 136638213633 349186545951 642705671533 1047559637853 1928117014599 3142678913559 5784351043797 14782230445259 17353053131391 44346691335777 133040074007331 399120222021993