Search a number
-
+
1137161318673 = 331233281186757
BaseRepresentation
bin10000100011000100000…
…110001011000100010001
311000201012201122100111210
4100203010012023010101
5122112401244144143
62230223225330333
7145104626503332
oct20430406130421
94021181570453
101137161318673
113a92a3a11806
121644810369a9
1383306a09033
143d078a62289
151e8a815c033
hex108c418b111

1137161318673 has 32 divisors (see below), whose sum is σ = 1577444723712. Its totient is φ = 727900185600.

The previous prime is 1137161318653. The next prime is 1137161318687. The reversal of 1137161318673 is 3768131617311.

It is not a de Polignac number, because 1137161318673 - 212 = 1137161314577 is a prime.

It is a super-2 number, since 2×11371613186732 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1137161318653) 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 31 ways as a sum of consecutive naturals, for example, 5995611 + ... + 6182367.

It is an arithmetic number, because the mean of its divisors is an integer number (49295147616).

Almost surely, 21137161318673 is an apocalyptic number.

It is an amenable number.

1137161318673 is a deficient number, since it is larger than the sum of its proper divisors (440283405039).

1137161318673 is a wasteful number, since it uses less digits than its factorization.

1137161318673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187305.

The product of its digits is 381024, while the sum is 48.

The spelling of 1137161318673 in words is "one trillion, one hundred thirty-seven billion, one hundred sixty-one million, three hundred eighteen thousand, six hundred seventy-three".

Divisors: 1 3 31 93 233 281 699 843 7223 8711 21669 26133 65473 186757 196419 560271 2029663 5789467 6088989 17368401 43514381 52478717 130543143 157436151 1348945811 1626840227 4046837433 4880520681 12227541061 36682623183 379053772891 1137161318673