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168722987121 = 34133720812
BaseRepresentation
bin1001110100100010101…
…1000111100001110001
3121010111121001210210000
42131020223013201301
510231021041041441
6205302115100213
715122053504353
oct2351053074161
9533447053700
10168722987121
1165611800527
1228848ba1669
1312bab50a070
14824821b0d3
1545c769b2b6
hex2748ac7871

168722987121 has 60 divisors (see below), whose sum is σ = 278900895196. Its totient is φ = 100974781440.

The previous prime is 168722987077. The next prime is 168722987141. The reversal of 168722987121 is 121789227861.

168722987121 is a `hidden beast` number, since 168 + 72 + 298 + 7 + 121 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1364268096 + 167358719025 = 36936^2 + 409095^2 .

It is not a de Polignac number, because 168722987121 - 213 = 168722978929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (168722987141) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 81076801 + ... + 81078881.

Almost surely, 2168722987121 is an apocalyptic number.

It is an amenable number.

168722987121 is a deficient number, since it is larger than the sum of its proper divisors (110177908075).

168722987121 is an frugal number, since it uses more digits than its factorization.

168722987121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224 (or 2134 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The spelling of 168722987121 in words is "one hundred sixty-eight billion, seven hundred twenty-two million, nine hundred eighty-seven thousand, one hundred twenty-one".

Divisors: 1 3 9 13 27 37 39 81 111 117 333 351 481 999 1053 1443 2081 2997 4329 6243 12987 18729 27053 38961 56187 76997 81159 168561 230991 243477 692973 730431 1000961 2078919 2191293 3002883 4330561 6236757 9008649 12991683 27025947 38975049 56297293 81077841 116925147 160230757 168891879 350775441 480692271 506675637 1442076813 1520026911 2082999841 4326230439 4560080733 6248999523 12978691317 18746998569 56240995707 168722987121