Search a number
-
+
697952221128 = 23343728872
BaseRepresentation
bin10100010100000010011…
…00011011011111001000
32110201112111020110020000
422022001030123133020
542413401232034003
61252345042203000
7101265622664511
oct12120114333710
92421474213200
10697952221128
11249aaa919068
12b3326953460
1350a80134476
1425ad136da08
151324e4081a3
hexa28131b7c8

697952221128 has 180 divisors, whose sum is σ = 2011443619185. Its totient is φ = 226107681984.

The previous prime is 697952221111. The next prime is 697952221157. The reversal of 697952221128 is 821122259796.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

697952221128 is a `hidden beast` number, since 6 + 9 + 79 + 522 + 21 + 1 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 563103161604 + 134849059524 = 750402^2 + 367218^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=590742.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 786867901 + ... + 786868787.

Almost surely, 2697952221128 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 697952221128

697952221128 is an abundant number, since it is smaller than the sum of its proper divisors (1313491398057).

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

697952221128 is an frugal number, since it uses more digits than its factorization.

697952221128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 929 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 697952221128 in words is "six hundred ninety-seven billion, nine hundred fifty-two million, two hundred twenty-one thousand, one hundred twenty-eight".