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1126516234112 = 2767571230047
BaseRepresentation
bin10000011001001001100…
…110011001011110000000
310222200201212001000201122
4100121021212121132000
5121424101123442422
62221303040251412
7144250056666353
oct20311146313600
93880655030648
101126516234112
113a4831056165
121623b0010b68
13822cb499029
143c748d7c29a
151e483827d42
hex10649999780

1126516234112 has 64 divisors (see below), whose sum is σ = 2281726487040. Its totient is φ = 553877153280.

The previous prime is 1126516234079. The next prime is 1126516234117. The reversal of 1126516234112 is 2114326156211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126516234117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4781873 + ... + 5011919.

It is an arithmetic number, because the mean of its divisors is an integer number (35651976360).

Almost surely, 21126516234112 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 1126516234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140863243520).

1126516234112 is an abundant number, since it is smaller than the sum of its proper divisors (1155210252928).

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

1126516234112 is an equidigital number, since it uses as much as digits as its factorization.

1126516234112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230699 (or 230687 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The spelling of 1126516234112 in words is "one trillion, one hundred twenty-six billion, five hundred sixteen million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 571 1072 1142 2144 2284 4288 4568 8576 9136 18272 36544 38257 73088 76514 153028 230047 306056 460094 612112 920188 1224224 1840376 2448448 3680752 4896896 7361504 14723008 15413149 29446016 30826298 61652596 123305192 131356837 246610384 262713674 493220768 525427348 986441536 1050854696 1972883072 2101709392 4203418784 8406837568 8800908079 16813675136 17601816158 35203632316 70407264632 140814529264 281629058528 563258117056 1126516234112