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270077221152 = 253211322712
BaseRepresentation
bin1111101110000111011…
…0110101100100100000
3221211010010221100212200
43323201312311210200
513411104232034102
6324023300053200
725340523334134
oct3734166654440
9854103840780
10270077221152
11a45a2606702
1244414394200
131c6117630cb
14d1010793c4
15705a73a51c
hex3ee1db5920

270077221152 has 162 divisors, whose sum is σ = 777758910201. Its totient is φ = 88899793920.

The previous prime is 270077221151. The next prime is 270077221159. The reversal of 270077221152 is 251122770072.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

270077221152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 170572304016 + 99504917136 = 413004^2 + 315444^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=367476.

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

It is not an unprimeable number, because it can be changed into a prime (270077221151) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 996594777 + ... + 996595047.

Almost surely, 2270077221152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270077221152

270077221152 is an abundant number, since it is smaller than the sum of its proper divisors (507681689049).

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

270077221152 is an equidigital number, since it uses as much as digits as its factorization.

270077221152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The spelling of 270077221152 in words is "two hundred seventy billion, seventy-seven million, two hundred twenty-one thousand, one hundred fifty-two".