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1070216211140 = 225215324854069
BaseRepresentation
bin11111001001011011101…
…10110110101011000100
310210022102012121112021122
433210231312312223010
5120013300322224030
62135352303333112
7140214645461606
oct17445566665304
93708365545248
101070216211140
1138297017265a
121534b92b1198
1379bc845517b
1439b27a61176
151cc8ad348e5
hexf92ddb6ac4

1070216211140 has 24 divisors (see below), whose sum is σ = 2248498004760. Its totient is φ = 427887634688.

The previous prime is 1070216211137. The next prime is 1070216211167. The reversal of 1070216211140 is 411126120701.

It can be written as a sum of positive squares in 4 ways, for example, as 199887679744 + 870328531396 = 447088^2 + 932914^2 .

It is a super-2 number, since 2×10702162111402 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12383975 + ... + 12470094.

It is an arithmetic number, because the mean of its divisors is an integer number (93687416865).

Almost surely, 21070216211140 is an apocalyptic number.

1070216211140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1070216211140 is an abundant number, since it is smaller than the sum of its proper divisors (1178281793620).

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

1070216211140 is a wasteful number, since it uses less digits than its factorization.

1070216211140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24856231 (or 24856229 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The spelling of 1070216211140 in words is "one trillion, seventy billion, two hundred sixteen million, two hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 2153 4306 8612 10765 21530 43060 24854069 49708138 99416276 124270345 248540690 497081380 53510810557 107021621114 214043242228 267554052785 535108105570 1070216211140