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1070227430272 = 277211132194831
BaseRepresentation
bin11111001001011101000…
…01101001101110000000
310210022102222201112001001
433210232201221232000
5120013311210232042
62135353344021344
7140215143026500
oct17445641515600
93708388645031
101070227430272
11382976535770
12153501001854
1379bca882900
1439b29341a00
151cc8bcedbb7
hexf92e869b80

1070227430272 has 576 divisors, whose sum is σ = 3084638630400. Its totient is φ = 364563763200.

The previous prime is 1070227430227. The next prime is 1070227430317. The reversal of 1070227430272 is 2720347220701.

It is an interprime number because it is at equal distance from previous prime (1070227430227) and next prime (1070227430317).

It is a super-2 number, since 2×10702274302722 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 221530897 + ... + 221535727.

It is an arithmetic number, because the mean of its divisors is an integer number (5355275400).

Almost surely, 21070227430272 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 1070227430272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542319315200).

1070227430272 is an abundant number, since it is smaller than the sum of its proper divisors (2014411200128).

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

1070227430272 is a wasteful number, since it uses less digits than its factorization.

1070227430272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4883 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 37.

The spelling of 1070227430272 in words is "one trillion, seventy billion, two hundred twenty-seven million, four hundred thirty thousand, two hundred seventy-two".