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71467272408 = 23374766113693
BaseRepresentation
bin100001010001111001…
…0000000100011011000
320211110200021121020010
41002203302000203120
52132331110204113
652455343401520
75110011535530
oct1024362004330
9224420247203
1071467272408
11283444595a4
1211a262b32a0
13697c41b28c
14365d83a4c0
151cd43431c3
hex10a3c808d8

71467272408 has 128 divisors (see below), whose sum is σ = 208867461120. Its totient is φ = 19953077760.

The previous prime is 71467272397. The next prime is 71467272427. The reversal of 71467272408 is 80427276417.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5212410 + ... + 5226102.

It is an arithmetic number, because the mean of its divisors is an integer number (1631777040).

Almost surely, 271467272408 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 71467272408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104433730560).

71467272408 is an abundant number, since it is smaller than the sum of its proper divisors (137400188712).

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

71467272408 is a wasteful number, since it uses less digits than its factorization.

71467272408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14417 (or 14413 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 48.

The spelling of 71467272408 in words is "seventy-one billion, four hundred sixty-seven million, two hundred seventy-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 661 987 1128 1316 1322 1974 1983 2632 2644 3948 3966 4627 5288 7896 7932 9254 13693 13881 15864 18508 27386 27762 31067 37016 41079 54772 55524 62134 82158 93201 95851 109544 111048 124268 164316 186402 191702 217469 248536 287553 328632 372804 383404 434938 575106 643571 652407 745608 766808 869876 1150212 1287142 1304814 1739752 1930713 2300424 2574284 2609628 3861426 4504997 5148568 5219256 7722852 9009994 9051073 13514991 15445704 18019988 18102146 27029982 27153219 36039976 36204292 54059964 54306438 63357511 72408584 108119928 108612876 126715022 190072533 217225752 253430044 380145066 425400431 506860088 760290132 850800862 1276201293 1520580264 1701601724 2552402586 2977803017 3403203448 5104805172 5955606034 8933409051 10209610344 11911212068 17866818102 23822424136 35733636204 71467272408