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1137147242752 = 2829153171773
BaseRepresentation
bin10000100011000011010…
…000011110100100000000
311000201011202011012222101
4100203003100132210000
5122112334143232002
62230222003520144
7145104366036553
oct20430320364400
94021152135871
101137147242752
113a9296a78314
12164478389054
1383303b1b1a1
143d076c3a69a
151e8a6ccb587
hex108c341e900

1137147242752 has 36 divisors (see below), whose sum is σ = 2348123295420. Its totient is φ = 548967630848.

The previous prime is 1137147242653. The next prime is 1137147242753. The reversal of 1137147242752 is 2572427417311.

It can be written as a sum of positive squares in 2 ways, for example, as 679002368256 + 458144874496 = 824016^2 + 676864^2 .

It is not an unprimeable number, because it can be changed into a prime (1137147242753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76578463 + ... + 76593310.

It is an arithmetic number, because the mean of its divisors is an integer number (65225647095).

Almost surely, 21137147242752 is an apocalyptic number.

It is an amenable number.

1137147242752 is an abundant number, since it is smaller than the sum of its proper divisors (1210976052668).

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

1137147242752 is an equidigital number, since it uses as much as digits as its factorization.

1137147242752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153171818 (or 153171804 counting only the distinct ones).

The product of its digits is 658560, while the sum is 46.

The spelling of 1137147242752 in words is "one trillion, one hundred thirty-seven billion, one hundred forty-seven million, two hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 153171773 306343546 612687092 1225374184 2450748368 4441981417 4901496736 8883962834 9802993472 17767925668 19605986944 35535851336 39211973888 71071702672 142143405344 284286810688 568573621376 1137147242752