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1358112875161 = 7222927272
BaseRepresentation
bin10011110000110101110…
…101011110001010011001
311210211112012222101100211
4103300311311132022121
5134222403344001121
62515524120131121
7200056205652400
oct23606565361231
94724465871324
101358112875161
11483a77348449
1219b265306aa1
139b0b98ab1c3
1449a39566637
15254dab5ece1
hex13c35d5e299

1358112875161 has 27 divisors (see below), whose sum is σ = 1588960240479. Its totient is φ = 1157419117008.

The previous prime is 1358112875089. The next prime is 1358112875227. The reversal of 1358112875161 is 1615782118531.

The square root of 1358112875161 is 1165381.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1264880359561 + 93232515600 = 1124669^2 + 305340^2 .

It is not a de Polignac number, because 1358112875161 - 219 = 1358112350873 is a prime.

It is a super-3 number, since 3×13581128751613 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1358112875761) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1868105380 + ... + 1868106106.

It is an arithmetic number, because the mean of its divisors is an integer number (58850379277).

Almost surely, 21358112875161 is an apocalyptic number.

1358112875161 is the 1165381-st square number.

1358112875161 is the 582691-st centered octagonal number.

It is an amenable number.

1358112875161 is a deficient number, since it is larger than the sum of its proper divisors (230847365318).

1358112875161 is an frugal number, since it uses more digits than its factorization.

1358112875161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 963 counting only the distinct ones).

The product of its digits is 403200, while the sum is 49.

Multiplying 1358112875161 by its sum of digits (49), we get a square (66547530882889 = 81576672).

1358112875161 divided by its sum of digits (49) gives a square (27716589289 = 1664832).

The spelling of 1358112875161 in words is "one trillion, three hundred fifty-eight billion, one hundred twelve million, eight hundred seventy-five thousand, one hundred sixty-one".

Divisors: 1 7 49 229 727 1603 5089 11221 35623 52441 166483 367087 528529 1165381 2569609 3699703 8157667 25897921 38124607 121033141 266872249 847231987 1868105743 5930623909 27716589289 194016125023 1358112875161