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7425441072 = 2434719231873
BaseRepresentation
bin1101110101001011…
…10011110100110000
3201011111021111020000
412322211303310300
5110201403103242
63224452550000
7352003131150
oct67245636460
921144244200
107425441072
113170516865
121532922300
139144b441a
14506264760
152d6d55a4c
hex1ba973d30

7425441072 has 400 divisors, whose sum is σ = 26992796160. Its totient is φ = 1921480704.

The previous prime is 7425441061. The next prime is 7425441109. The reversal of 7425441072 is 2701445247.

7425441072 is a `hidden beast` number, since 7 + 4 + 2 + 544 + 107 + 2 = 666.

It is a super-2 number, since 2×74254410722 (a number of 21 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 3963528 + ... + 3965400.

Almost surely, 27425441072 is an apocalyptic number.

7425441072 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 7425441072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13496398080).

7425441072 is an abundant number, since it is smaller than the sum of its proper divisors (19567355088).

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

7425441072 is a wasteful number, since it uses less digits than its factorization.

7425441072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 7425441072 is about 86170.9990193917. Note that the first 3 decimals coincide. The cubic root of 7425441072 is about 1950.9257994429.

The spelling of 7425441072 in words is "seven billion, four hundred twenty-five million, four hundred forty-one thousand, seventy-two".