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2163081408831 = 34710349517481
BaseRepresentation
bin11111011110100001101…
…100101111000100111111
321122210021212021210020000
4133132201230233010333
5240414442320040311
64333412245325343
7312164113415340
oct37364154570477
97583255253200
102163081408831
117643a3078012
122ab277706853
13128c93019c15
147699d71c0c7
153b400240056
hex1f7a1b2f13f

2163081408831 has 80 divisors (see below), whose sum is σ = 3729984580608. Its totient is φ = 1223635248000.

The previous prime is 2163081408823. The next prime is 2163081408857. The reversal of 2163081408831 is 1388041803612.

2163081408831 is a `hidden beast` number, since 2 + 1 + 630 + 8 + 1 + 4 + 0 + 8 + 8 + 3 + 1 = 666.

It is not a de Polignac number, because 2163081408831 - 23 = 2163081408823 is a prime.

It is a super-2 number, since 2×21630814088312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163081406831) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 289139611 + ... + 289147091.

Almost surely, 22163081408831 is an apocalyptic number.

2163081408831 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2163081408831 is a deficient number, since it is larger than the sum of its proper divisors (1566903171777).

2163081408831 is a wasteful number, since it uses less digits than its factorization.

2163081408831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12554 (or 12545 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 2163081408831 in words is "two trillion, one hundred sixty-three billion, eighty-one million, four hundred eight thousand, eight hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 81 103 189 309 567 721 927 2163 2781 4951 6489 7481 8343 14853 19467 22443 34657 44559 52367 58401 67329 103971 133677 157101 201987 311913 401031 471303 509953 605961 770543 935739 1413909 1529859 2311629 2807217 3569671 4241727 4589577 5393801 6934887 10709013 13768731 16181403 20804661 32127039 37038431 41306193 48544209 62413983 96381117 111115293 145632627 259269017 289143351 333345879 436897881 777807051 1000037637 2333421153 3000112911 3814958393 7000263459 11444875179 21000790377 26704708751 34334625537 80114126253 103003876611 240342378759 309011629833 721027136277 2163081408831