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6972124820 = 225186712
BaseRepresentation
bin1100111111001001…
…00010111010010100
3122222220021122020012
412133210202322110
5103234330443240
63111500455352
7334530040343
oct63744427224
918886248205
106972124820
112a58645631
121426b4a558
138715c615b
144a1d81b5a
152ac15eb65
hex19f922e94

6972124820 has 18 divisors (see below), whose sum is σ = 14642246346. Its totient is φ = 2788700560.

The previous prime is 6972124799. The next prime is 6972124853. The reversal of 6972124820 is 284212796.

It can be written as a sum of positive squares in only one way, i.e., 5577699856 + 1394424964 = 74684^2 + 37342^2 .

It is a super-2 number, since 2×69721248202 = 97221049011320064800, which contains 22 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 364085 + ... + 382755.

Almost surely, 26972124820 is an apocalyptic number.

It is an amenable number.

6972124820 is an abundant number, since it is smaller than the sum of its proper divisors (7670121526).

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

6972124820 is an frugal number, since it uses more digits than its factorization.

6972124820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37351 (or 18678 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 6972124820 is about 83499.2504157971. The cubic root of 6972124820 is about 1910.3885999702.

The spelling of 6972124820 in words is "six billion, nine hundred seventy-two million, one hundred twenty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 18671 37342 74684 93355 186710 373420 348606241 697212482 1394424964 1743031205 3486062410 6972124820