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1379088806872 = 237237137694039
BaseRepresentation
bin10100000100011000000…
…110010011001111011000
311212211200001220010020111
4110010120012103033120
5140043333213304442
62533313351134104
7201431051305300
oct24043006231730
94784601803214
101379088806872
114919607513a7
121a333a074334
13a0080516c0a
144aa692d2600
1525d17405b17
hex141181933d8

1379088806872 has 96 divisors (see below), whose sum is σ = 3111811624800. Its totient is φ = 570865688064.

The previous prime is 1379088806857. The next prime is 1379088806897. The reversal of 1379088806872 is 2786088809731.

It is a super-3 number, since 3×13790888068723 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1379088806798 and 1379088806807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1640029 + ... + 2334067.

It is an arithmetic number, because the mean of its divisors is an integer number (32414704425).

Almost surely, 21379088806872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1379088806872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555905812400).

1379088806872 is an abundant number, since it is smaller than the sum of its proper divisors (1732722817928).

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

1379088806872 is a wasteful number, since it uses less digits than its factorization.

1379088806872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694233 (or 694222 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 67.

The spelling of 1379088806872 in words is "one trillion, three hundred seventy-nine billion, eighty-eight million, eight hundred six thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 137 148 196 259 274 296 392 518 548 959 1036 1096 1813 1918 2072 3626 3836 5069 6713 7252 7672 10138 13426 14504 20276 26852 35483 40552 53704 70966 141932 248381 283864 496762 694039 993524 1388078 1987048 2776156 4858273 5552312 9716546 19433092 25679443 34007911 38866184 51358886 68015822 95083343 102717772 136031644 179756101 190166686 205435544 272063288 359512202 380333372 665583401 719024404 760666744 1258292707 1331166802 1438048808 2516585414 2662333604 3518083691 4659083807 5033170828 5324667208 7036167382 9318167614 10066341656 14072334764 18636335228 24626585837 28144669528 37272670456 49253171674 98506343348 172386100859 197012686696 344772201718 689544403436 1379088806872