Search a number
-
+
7422060672 = 27331331732
BaseRepresentation
bin1101110100110001…
…11010100010000000
3201011020220202012000
412322120322202000
5110200021420142
63224252304000
7351632321565
oct67230724200
921136822160
107422060672
113169618044
121531772000
1391389c8a0
14505a2486c
152d68d914c
hex1ba63a880

7422060672 has 384 divisors, whose sum is σ = 24689548800. Its totient is φ = 2179768320.

The previous prime is 7422060661. The next prime is 7422060727. The reversal of 7422060672 is 2760602247.

7422060672 is a `hidden beast` number, since 7 + 42 + 2 + 0 + 606 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101672028 + ... + 101672100.

It is an arithmetic number, because the mean of its divisors is an integer number (64295700).

Almost surely, 27422060672 is an apocalyptic number.

7422060672 is a gapful number since it is divisible by the number (72) 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 7422060672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12344774400).

7422060672 is an abundant number, since it is smaller than the sum of its proper divisors (17267488128).

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

7422060672 is a wasteful number, since it uses less digits than its factorization.

7422060672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 7422060672 is about 86151.3822988349. The cubic root of 7422060672 is about 1950.6297043230.

The spelling of 7422060672 in words is "seven billion, four hundred twenty-two million, sixty thousand, six hundred seventy-two".