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81378676071 = 327114712172053
BaseRepresentation
bin100101111001010001…
…1000000110101100111
321210001102100002000200
41023302203000311213
52313130420113241
6101215043241543
75610432222240
oct1136243006547
9253042302020
1081378676071
11315701608a0
12139316792b3
13789b958684
143d1dcd9cc7
1521b45504b6
hex12f28c0d67

81378676071 has 96 divisors (see below), whose sum is σ = 149866149888. Its totient is φ = 41321041920.

The previous prime is 81378676033. The next prime is 81378676081. The reversal of 81378676071 is 17067687318.

It is not a de Polignac number, because 81378676071 - 27 = 81378675943 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 81378675999 and 81378676017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81378676021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39637881 + ... + 39639933.

It is an arithmetic number, because the mean of its divisors is an integer number (1561105728).

Almost surely, 281378676071 is an apocalyptic number.

81378676071 is a deficient number, since it is larger than the sum of its proper divisors (68487473817).

81378676071 is a wasteful number, since it uses less digits than its factorization.

81378676071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 81378676071 in words is "eighty-one billion, three hundred seventy-eight million, six hundred seventy-six thousand, seventy-one".

Divisors: 1 3 7 9 11 21 33 47 63 77 99 141 231 329 423 517 693 987 1217 1551 2053 2961 3619 3651 4653 6159 8519 10857 10953 13387 14371 18477 22583 25557 32571 40161 43113 57199 67749 76671 93709 96491 120483 129339 158081 171597 203247 281127 289473 400393 474243 514791 629189 675437 843381 868419 1061401 1201179 1422729 1887567 2026311 2498501 3184203 3603537 4404323 5662701 6078933 7429807 7495503 9552609 13212969 17489507 22289421 22486509 27483511 39638907 52468521 66868263 82450533 117429547 157405563 192384577 247351599 352288641 577153731 822006829 1056865923 1291725017 1731461193 2466020487 3875175051 7398061461 9042075119 11625525153 27126225357 81378676071