Search a number
-
+
6930272952 = 2333192314761
BaseRepresentation
bin1100111010001001…
…11001001010111000
3122212222112100021000
412131010321022320
5103143122213302
63103403445000
7333511230261
oct63504711270
918788470230
106930272952
112a36a5a709
121414b26760
13865a31735
1449a5a9968
152a864431c
hex19d1392b8

6930272952 has 384 divisors, whose sum is σ = 21770035200. Its totient is φ = 2038867200.

The previous prime is 6930272939. The next prime is 6930272959. The reversal of 6930272952 is 2592720396.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6930272898 and 6930272907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6930272959) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113611002 + ... + 113611062.

It is an arithmetic number, because the mean of its divisors is an integer number (56692800).

Almost surely, 26930272952 is an apocalyptic number.

6930272952 is a gapful number since it is divisible by the number (62) 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 6930272952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10885017600).

6930272952 is an abundant number, since it is smaller than the sum of its proper divisors (14839762248).

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

6930272952 is a wasteful number, since it uses less digits than its factorization.

6930272952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 6930272952 is about 83248.2609548091. The cubic root of 6930272952 is about 1906.5584023866.

The spelling of 6930272952 in words is "six billion, nine hundred thirty million, two hundred seventy-two thousand, nine hundred fifty-two".