Search a number
-
+
10061610061095 = 3351014396612543
BaseRepresentation
bin1001001001101010011010…
…1100011000110100100111
31022121212202220102122012000
42102122212230120310213
52304322134133423340
633222123450300343
72055633035254545
oct222324654306447
938555686378160
1010061610061095
11322a11763488a
121166010a276b3
1357ca62331a88
1426adad774d95
15126ad3bd0d30
hex926a6b18d27

10061610061095 has 128 divisors (see below), whose sum is σ = 18140079513600. Its totient is φ = 5290857792000.

The previous prime is 10061610061033. The next prime is 10061610061099. The reversal of 10061610061095 is 59016001616001.

10061610061095 is a `hidden beast` number, since 10 + 0 + 6 + 16 + 10 + 0 + 610 + 9 + 5 = 666.

It is not a de Polignac number, because 10061610061095 - 29 = 10061610060583 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061610061099) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3956589394 + ... + 3956591936.

It is an arithmetic number, because the mean of its divisors is an integer number (141719371200).

Almost surely, 210061610061095 is an apocalyptic number.

10061610061095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10061610061095 is a deficient number, since it is larger than the sum of its proper divisors (8078469452505).

10061610061095 is a wasteful number, since it uses less digits than its factorization.

10061610061095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

Adding to 10061610061095 its reverse (59016001616001), we get a palindrome (69077611677096).

The spelling of 10061610061095 in words is "ten trillion, sixty-one billion, six hundred ten million, sixty-one thousand, ninety-five".

Divisors: 1 3 5 9 15 27 45 101 135 303 439 505 661 909 1317 1515 1983 2195 2543 2727 3305 3951 4545 5949 6585 7629 9915 11853 12715 13635 17847 19755 22887 29745 38145 44339 59265 66761 68661 89235 114435 133017 200283 221695 256843 290179 333805 343305 399051 600849 665085 770529 870537 1001415 1116377 1197153 1284215 1450895 1680923 1802547 1995255 2311587 2611611 3004245 3349131 3852645 4352685 5042769 5581885 5985765 6934761 7834833 8404615 9012735 10047393 11557935 13058055 15128307 16745655 25213845 29308079 30142179 34673805 39174165 45384921 50236965 75641535 87924237 112754077 146540395 150710895 169773223 226924605 263772711 338262231 439621185 509319669 563770385 737925197 791318133 848866115 1014786693 1318863555 1527959007 1691311155 2213775591 2546598345 3044360079 3689625985 3956590665 4583877021 5073933465 6641326773 7639795035 11068877955 15221800395 19923980319 22919385105 33206633865 74530444897 99619901595 223591334691 372652224485 670774004073 1117956673455 2012322012219 3353870020365 10061610061095