Search a number
-
+
397028990561280 = 2103571119731731399
BaseRepresentation
bin101101001000110001000001…
…1111100101010110000000000
31221001202121012222211221110120
41122101202003330222300000
5404014410333040430110
63524224333355500240
7146425253335242120
oct13221420374526000
91831677188757416
10397028990561280
1110556205a713780
1238642a65757680
131406c899c1c82c
14700843cab2c80
1530d797daba870
hex1691883f2ac00

397028990561280 has 2816 divisors, whose sum is σ = 1700353880064000. Its totient is φ = 76586428661760.

The previous prime is 397028990561263. The next prime is 397028990561303. The reversal of 397028990561280 is 82165099820793.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-2 number, since 2×3970289905612802 (a number of 30 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 283794846021 + ... + 283794847419.

Almost surely, 2397028990561280 is an apocalyptic number.

397028990561280 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 397028990561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850176940032000).

397028990561280 is an abundant number, since it is smaller than the sum of its proper divisors (1303324889502720).

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

397028990561280 is a wasteful number, since it uses less digits than its factorization.

397028990561280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 69.

The spelling of 397028990561280 in words is "three hundred ninety-seven trillion, twenty-eight billion, nine hundred ninety million, five hundred sixty-one thousand, two hundred eighty".