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116896293801 = 31272672
BaseRepresentation
bin110110011011110001…
…1111110001110101001
3102011201201000000000000
41230313203332032221
53403400422400201
6125411301133213
711305541050200
oct1546743761651
9364651000000
10116896293801
1145636a01781
121a7a43ba209
13b03c192421
14592d066237
153092778d86
hex1b378fe3a9

116896293801 has 117 divisors (see below), whose sum is σ = 207061772589. Its totient is φ = 65800898856.

The previous prime is 116896293733. The next prime is 116896293827. The reversal of 116896293801 is 108392698611.

The square root of 116896293801 is 341901.

It is a perfect power (a square), and thus also a powerful number.

116896293801 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 9 + 629 + 3 + 8 + 0 + 1 = 666.

It is not a de Polignac number, because 116896293801 - 29 = 116896293289 is a prime.

It is a super-2 number, since 2×1168962938012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116896293881) 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 116 ways as a sum of consecutive naturals, for example, 1744720770 + ... + 1744720836.

Almost surely, 2116896293801 is an apocalyptic number.

116896293801 is the 341901-st square number.

116896293801 is the 170951-st centered octagonal number.

It is an amenable number.

116896293801 is a deficient number, since it is larger than the sum of its proper divisors (90165478788).

116896293801 is an frugal number, since it uses more digits than its factorization.

116896293801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

It can be divided in two parts, 1168 and 96293801, that added together give a square (96294969 = 98132).

The spelling of 116896293801 in words is "one hundred sixteen billion, eight hundred ninety-six million, two hundred ninety-three thousand, eight hundred one".

Divisors: 1 3 7 9 21 27 49 63 67 81 147 189 201 243 441 469 567 603 729 1323 1407 1701 1809 2187 3283 3969 4221 4489 5103 5427 6561 9849 11907 12663 13467 15309 16281 19683 29547 31423 35721 37989 40401 45927 48843 59049 88641 94269 107163 113967 121203 137781 146529 177147 219961 265923 282807 321489 341901 363609 413343 439587 531441 659883 797769 848421 964467 1025703 1090827 1240029 1318761 1979649 2393307 2545263 2893401 3077109 3272481 3720087 3956283 5938947 7179921 7635789 8680203 9231327 9817443 11868849 17816841 21539763 22907367 26040609 27693981 29452329 35606547 53450523 64619289 68722101 83081943 88356987 160351569 193857867 206166303 249245829 265070961 481054707 581573601 618498909 795212883 1443164121 1744720803 1855496727 2385638649 4329492363 5566490181 12988477089 16699470543 38965431267 116896293801