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13400806806672 = 24317211006916111
BaseRepresentation
bin1100001100000001111001…
…0101000101010010010000
31202110002211021012220221220
43003000132111011102100
53224024323020303142
644300125021245040
72552114325265425
oct303003625052220
952402737186856
1013400806806672
1142a72830a196a
1216051bb103780
137628c94c084c
14344861405d4c
151838bbcee2ec
hexc301e545490

13400806806672 has 80 divisors (see below), whose sum is σ = 34644456779520. Its totient is φ = 4463619609600.

The previous prime is 13400806806649. The next prime is 13400806806683. The reversal of 13400806806672 is 27660860800431.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831771897 + ... + 831788007.

It is an arithmetic number, because the mean of its divisors is an integer number (433055709744).

Almost surely, 213400806806672 is an apocalyptic number.

13400806806672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13400806806672 is an abundant number, since it is smaller than the sum of its proper divisors (21243649972848).

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

13400806806672 is a wasteful number, since it uses less digits than its factorization.

13400806806672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27912 (or 27906 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 13400806806672 in words is "thirteen trillion, four hundred billion, eight hundred six million, eight hundred six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1721 3442 5163 6884 10069 10326 13768 16111 20138 20652 27536 30207 32222 40276 41304 48333 60414 64444 80552 82608 96666 120828 128888 161104 193332 241656 257776 386664 483312 773328 17328749 27727031 34657498 51986247 55454062 69314996 83181093 103972494 110908124 138629992 162221659 166362186 207944988 221816248 277259984 324443318 332724372 415889976 443632496 486664977 648886636 665448744 831779952 973329954 1297773272 1330897488 1946659908 2595546544 3893319816 7786639632 279183475139 558366950278 837550425417 1116733900556 1675100850834 2233467801112 3350201701668 4466935602224 6700403403336 13400806806672