Search a number
-
+
61116122162070 = 23251956962812693
BaseRepresentation
bin11011110010101101101001…
…10000000110001110010110
322000101122101122010222100200
431321112310300012032112
531002311304233141240
6333552205305521330
715605331323661063
oct1571266460061626
9260348348128320
1061116122162070
1118523224737088
126a308697a3246
1328142c1812a21
141114071091c6a
1570eb85b2a930
hex3795b4c06396

61116122162070 has 96 divisors (see below), whose sum is σ = 167559142514400. Its totient is φ = 15412727112192.

The previous prime is 61116122161973. The next prime is 61116122162071. The reversal of 61116122162070 is 7026122161116.

61116122162070 is a `hidden beast` number, since 6 + 1 + 1 + 1 + 6 + 1 + 2 + 21 + 620 + 7 + 0 = 666.

61116122162070 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 2×611161221620702 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61116122162071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30433357 + ... + 32379336.

It is an arithmetic number, because the mean of its divisors is an integer number (1745407734525).

Almost surely, 261116122162070 is an apocalyptic number.

61116122162070 is an abundant number, since it is smaller than the sum of its proper divisors (106443020352330).

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

61116122162070 is a wasteful number, since it uses less digits than its factorization.

61116122162070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62813294 (or 62813291 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 61116122162070 in words is "sixty-one trillion, one hundred sixteen billion, one hundred twenty-two million, one hundred sixty-two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 569 570 855 1138 1707 1710 2845 3414 5121 5690 8535 10242 10811 17070 21622 25605 32433 51210 54055 64866 97299 108110 162165 194598 324330 486495 972990 62812693 125625386 188438079 314063465 376876158 565314237 628126930 942190395 1130628474 1193441167 1884380790 2386882334 2826571185 3580323501 5653142370 5967205835 7160647002 10740970503 11934411670 17901617505 21481941006 35740422317 35803235010 53704852515 71480844634 107221266951 107409705030 178702111585 214442533902 321663800853 357404223170 536106334755 643327601706 679068024023 1072212669510 1358136048046 1608319004265 2037204072069 3216638008530 3395340120115 4074408144138 6111612216207 6790680240230 10186020360345 12223224432414 20372040720690 30558061081035 61116122162070