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20691810406116 = 22323161929953229
BaseRepresentation
bin1001011010001101100000…
…00000100100111011100100
32201021010011211210102120200
410231012300000210323210
510203003311430443431
6112001404140030500
74233635231321253
oct455066000447344
981233154712520
1020691810406116
1166583905a3623
1223a2265532430
13b712c9b57c25
145176bba2479a
1525d394e91ee6
hex12d1b0024ee4

20691810406116 has 72 divisors (see below), whose sum is σ = 54078759571200. Its totient is φ = 6663994165440.

The previous prime is 20691810406081. The next prime is 20691810406117. The reversal of 20691810406116 is 61160401819602.

20691810406116 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 18 + 10 + 4 + 0 + 611 + 6 = 666.

It is a super-3 number, since 3×206918104061163 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20691810406117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14285811 + ... + 15667418.

Almost surely, 220691810406116 is an apocalyptic number.

It is an amenable number.

20691810406116 is an abundant number, since it is smaller than the sum of its proper divisors (33386949165084).

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

20691810406116 is a wasteful number, since it uses less digits than its factorization.

20691810406116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29953889 (or 29953884 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 20691810406116 in words is "twenty trillion, six hundred ninety-one billion, eight hundred ten million, four hundred six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 619 1116 1238 1857 2476 3714 5571 7428 11142 19189 22284 38378 57567 76756 115134 172701 230268 345402 690804 29953229 59906458 89859687 119812916 179719374 269579061 359438748 539158122 928550099 1078316244 1857100198 2785650297 3714200396 5571300594 8356950891 11142601188 16713901782 18541048751 33427803564 37082097502 55623146253 74164195004 111246292506 166869438759 222492585012 333738877518 574772511281 667477755036 1149545022562 1724317533843 2299090045124 3448635067686 5172952601529 6897270135372 10345905203058 20691810406116