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7225015150080 = 293257138574021
BaseRepresentation
bin110100100100011010001…
…1101100010011000000000
3221120201000201122221200200
41221020310131202120000
51421333312334300310
623211043125045200
71343663416325010
oct151106435423000
927521021587620
107225015150080
112336125772aa2
1298830ab56800
13405415356a50
141ad99a6c5c40
15c7e14d399c0
hex69234762600

7225015150080 has 960 divisors, whose sum is σ = 30840230348928. Its totient is φ = 1522241372160.

The previous prime is 7225015150061. The next prime is 7225015150081. The reversal of 7225015150080 is 800515105227.

7225015150080 is a `hidden beast` number, since 7 + 2 + 25 + 0 + 1 + 51 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7225015150081) 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, 1796818470 + ... + 1796822490.

Almost surely, 27225015150080 is an apocalyptic number.

7225015150080 is a gapful number since it is divisible by the number (70) 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 7225015150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15420115174464).

7225015150080 is an abundant number, since it is smaller than the sum of its proper divisors (23615215198848).

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

7225015150080 is a wasteful number, since it uses less digits than its factorization.

7225015150080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4927 (or 4908 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 7225015150080 in words is "seven trillion, two hundred twenty-five billion, fifteen million, one hundred fifty thousand, eighty".