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874944729160 = 235216124734093
BaseRepresentation
bin11001011101101101100…
…01010001000001001000
310002122101101212110002021
430232312301101001020
5103313341322313120
61505535530014224
7120132642326455
oct14566661210110
93078341773067
10874944729160
11308075542a97
121216a1277374
1364678970368
14304c197282c
1517b5ca8caaa
hexcbb6c51048

874944729160 has 64 divisors (see below), whose sum is σ = 1970814426480. Its totient is φ = 349589053440.

The previous prime is 874944729157. The next prime is 874944729161. The reversal of 874944729160 is 61927449478.

It can be written as a sum of positive squares in 8 ways, for example, as 505808284804 + 369136444356 = 711202^2 + 607566^2 .

It is a super-4 number, since 4×8749447291604 (a number of 49 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (874944729161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213764074 + ... + 213768166.

Almost surely, 2874944729160 is an apocalyptic number.

It is an amenable number.

874944729160 is an abundant number, since it is smaller than the sum of its proper divisors (1095869697320).

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

874944729160 is a wasteful number, since it uses less digits than its factorization.

874944729160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8738 (or 8734 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 61.

The spelling of 874944729160 in words is "eight hundred seventy-four billion, nine hundred forty-four million, seven hundred twenty-nine thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 2161 2473 4093 4322 4946 8186 8644 9892 10805 12365 16372 17288 19784 20465 21610 24730 32744 40930 43220 49460 81860 86440 98920 163720 5344153 8844973 10121989 10688306 17689946 20243978 21376612 26720765 35379892 40487956 42753224 44224865 50609945 53441530 70759784 80975912 88449730 101219890 106883060 176899460 202439780 213766120 353798920 404879560 21873618229 43747236458 87494472916 109368091145 174988945832 218736182290 437472364580 874944729160