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95121018 = 232171372269
BaseRepresentation
bin1011010101101…
…10111001111010
320121222122111200
411222312321322
5143322333033
613234435030
72233341516
oct552667172
9217878450
1095121018
1149769913
1227a32a76
1316925b35
14c8c1146
15853e013
hex5ab6e7a

95121018 has 48 divisors (see below), whose sum is σ = 219908520. Its totient is φ = 29611008.

The previous prime is 95120983. The next prime is 95121023. The reversal of 95121018 is 81012159.

It can be written as a sum of positive squares in 4 ways, for example, as 74080449 + 21040569 = 8607^2 + 4587^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 95120982 and 95121000.

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, 40788 + ... + 43056.

Almost surely, 295121018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95121018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109954260).

95121018 is an abundant number, since it is smaller than the sum of its proper divisors (124787502).

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

95121018 is a wasteful number, since it uses less digits than its factorization.

95121018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 95121018 is about 9753.0004613965. Note that the first 3 decimals coincide. The cubic root of 95121018 is about 456.4839333780.

The spelling of 95121018 in words is "ninety-five million, one hundred twenty-one thousand, eighteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 137 153 274 306 411 822 1233 2269 2329 2466 4538 4658 6807 6987 13614 13974 20421 20961 38573 40842 41922 77146 115719 231438 310853 347157 621706 694314 932559 1865118 2797677 5284501 5595354 10569002 15853503 31707006 47560509 95121018