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121557058146 = 232157170925169
BaseRepresentation
bin111000100110101011…
…1011000001001100010
3102121202112001100201200
41301031113120021202
53442422101330041
6131501553342030
711532203642346
oct1611527301142
9377675040650
10121557058146
1147608876a37
121b685267916
13b602966554
145c5205d626
153266a211b6
hex1c4d5d8262

121557058146 has 48 divisors (see below), whose sum is σ = 265216793400. Its totient is φ = 40235779584.

The previous prime is 121557058123. The next prime is 121557058151. The reversal of 121557058146 is 641850755121.

121557058146 is a `hidden beast` number, since 1 + 2 + 1 + 557 + 0 + 58 + 1 + 46 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58561580025 + 62995478121 = 241995^2 + 250989^2 .

It is a super-2 number, since 2×1215570581462 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4817050 + ... + 4842218.

Almost surely, 2121557058146 is an apocalyptic number.

121557058146 is an abundant number, since it is smaller than the sum of its proper divisors (143659735254).

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

121557058146 is a wasteful number, since it uses less digits than its factorization.

121557058146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27043 (or 27040 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 121557058146 in words is "one hundred twenty-one billion, five hundred fifty-seven million, fifty-eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 157 314 471 942 1413 1709 2826 3418 5127 10254 15381 25169 30762 50338 75507 151014 226521 268313 453042 536626 804939 1609878 2414817 3951533 4829634 7903066 11854599 23709198 35563797 43013821 71127594 86027642 129041463 258082926 387124389 774248778 6753169897 13506339794 20259509691 40519019382 60778529073 121557058146