Search a number
-
+
397135623024 = 243271930676761
BaseRepresentation
bin1011100011101110010…
…00001011001101110000
31101222002001201221110200
411301313020023031300
523001313204414044
6502235214355200
740456251045510
oct5616710131560
91358061657420
10397135623024
111434737845a8
1264b73abbb00
132b5b0090b1a
14153159c1840
15a4e51e4369
hex5c7720b370

397135623024 has 240 divisors, whose sum is σ = 1337690215680. Its totient is φ = 107444413440.

The previous prime is 397135622981. The next prime is 397135623067. The reversal of 397135623024 is 420326531793.

397135623024 is a `hidden beast` number, since 3 + 9 + 7 + 13 + 5 + 623 + 0 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (397135622981) and next prime (397135623067).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 58735804 + ... + 58742564.

It is an arithmetic number, because the mean of its divisors is an integer number (5573709232).

Almost surely, 2397135623024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397135623024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668845107840).

397135623024 is an abundant number, since it is smaller than the sum of its proper divisors (940554592656).

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

397135623024 is a wasteful number, since it uses less digits than its factorization.

397135623024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9868 (or 9859 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 397135623024 in words is "three hundred ninety-seven billion, one hundred thirty-five million, six hundred twenty-three thousand, twenty-four".