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397295307623824 = 241932258192
BaseRepresentation
bin101101001010101101000010…
…1101011101000110110010000
31221002201001122002101110102121
41122111122011223220312100
5404033241242222430244
63524550540014424024
7146453432043024601
oct13225320553506620
91832631562343377
10397295307623824
11105654aa2760585
12386865aa802014
131408ba2c657acc
1470172a45cbda8
1530de869159c84
hex1695685ae8d90

397295307623824 has 45 divisors (see below), whose sum is σ = 773798685903873. Its totient is φ = 197610737366016.

The previous prime is 397295307623821. The next prime is 397295307623899. The reversal of 397295307623824 is 428326703592793.

It is a happy number.

The square root of 397295307623824 is 19932268.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 96260037888400 + 301035269735424 = 9811220^2 + 17350368^2 .

It is a super-2 number, since 2×3972953076238242 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (397295307623821) 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 8 ways as a sum of consecutive naturals, for example, 15387697987 + ... + 15387723805.

Almost surely, 2397295307623824 is an apocalyptic number.

397295307623824 is the 19932268-th square number.

It is an amenable number.

397295307623824 is a deficient number, since it is larger than the sum of its proper divisors (376503378280049).

397295307623824 is an frugal number, since it uses more digits than its factorization.

397295307623824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52032 (or 26014 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 70.

The spelling of 397295307623824 in words is "three hundred ninety-seven trillion, two hundred ninety-five billion, three hundred seven million, six hundred twenty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 193 386 772 1544 3088 25819 37249 51638 74498 103276 148996 206552 297992 413104 595984 4983067 9966134 19932268 39864536 79729072 666620761 961731931 1333241522 1923463862 2666483044 3846927724 5332966088 7693855448 10665932176 15387710896 128657806873 257315613746 514631227492 1029262454984 2058524909968 24830956726489 49661913452978 99323826905956 198647653811912 397295307623824