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161125296954 = 23831732517451
BaseRepresentation
bin1001011000001111010…
…0001110101100111010
3120101220002200011012220
42112003310032230322
510114441034000304
6202004150144510
714432556266226
oct2260364165472
9511802604186
10161125296954
1162373036446
1227288652136
131226a4369cb
147b27159786
1542d066dad9
hex2583d0eb3a

161125296954 has 64 divisors (see below), whose sum is σ = 329369338368. Its totient is φ = 52537400000.

The previous prime is 161125296923. The next prime is 161125296961. The reversal of 161125296954 is 459692521161.

161125296954 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1611252969542 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161125296897 and 161125296906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21620929 + ... + 21628379.

It is an arithmetic number, because the mean of its divisors is an integer number (5146395912).

Almost surely, 2161125296954 is an apocalyptic number.

161125296954 is an abundant number, since it is smaller than the sum of its proper divisors (168244041414).

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

161125296954 is a wasteful number, since it uses less digits than its factorization.

161125296954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7963.

The product of its digits is 1166400, while the sum is 51.

The spelling of 161125296954 in words is "one hundred sixty-one billion, one hundred twenty-five million, two hundred ninety-six thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 83 166 173 249 251 346 498 502 519 753 1038 1506 7451 14359 14902 20833 22353 28718 41666 43077 43423 44706 62499 86154 86846 124998 130269 260538 618433 1236866 1289023 1855299 1870201 2578046 3604109 3710598 3740402 3867069 5610603 7208218 7734138 10812327 11221206 21624654 106988909 155226683 213977818 310453366 320966727 323544773 465680049 641933454 647089546 931360098 970634319 1941268638 26854216159 53708432318 80562648477 161125296954