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4201272092862 = 2341329254926987
BaseRepresentation
bin111101001000101111010…
…101001010100010111110
3112212122012212122101210000
4331020233111022202332
51022313201123432422
612534012053255130
7612350303366505
oct75105725124276
915778185571700
104201272092862
11137a827629a89
1257a2996344a6
13246241831380
141074b235983c
1574440e5acac
hex3d22f54a8be

4201272092862 has 160 divisors (see below), whose sum is σ = 10492205724000. Its totient is φ = 1247587391232.

The previous prime is 4201272092861. The next prime is 4201272092873. The reversal of 4201272092862 is 2682902721024.

4201272092862 is a `hidden beast` number, since 42 + 0 + 127 + 209 + 286 + 2 = 666.

It is a super-2 number, since 2×42012720928622 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201272092861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 155664133 + ... + 155691119.

It is an arithmetic number, because the mean of its divisors is an integer number (65576285775).

Almost surely, 24201272092862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201272092862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5246102862000).

4201272092862 is an abundant number, since it is smaller than the sum of its proper divisors (6290933631138).

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

4201272092862 is a wasteful number, since it uses less digits than its factorization.

4201272092862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29592 (or 29583 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 4201272092862 in words is "four trillion, two hundred one billion, two hundred seventy-two million, ninety-two thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 117 162 174 234 261 351 377 522 702 754 783 1053 1131 1566 2106 2262 2349 2549 3393 4698 5098 6786 7647 10179 15294 20358 22941 26987 30537 33137 45882 53974 61074 66274 68823 73921 80961 99411 137646 147842 161922 198822 206469 221763 242883 298233 350831 412938 443526 485766 596466 665289 701662 728649 782623 894699 960973 1052493 1330578 1457298 1565246 1789398 1921946 1995867 2104986 2185947 2347869 2684097 2882919 3157479 3991734 4371894 4695738 5368194 5765838 5987601 6314958 7043607 8648757 9472437 10174099 11975202 14087214 17297514 18944874 20348198 21130821 25946271 28417311 30522297 42261642 51892542 56834622 61044594 63392463 68789863 77838813 91566891 126784926 137579726 155677626 183133782 206369589 274700673 412739178 549401346 619108767 824102019 894268219 1238217534 1648204038 1788536438 1857326301 1994906027 2682804657 3714652602 3989812054 5365609314 5571978903 5984718081 8048413971 11143957806 11969436162 16096827942 17954154243 24145241913 25933778351 35908308486 48290483826 51867556702 53862462729 72435725739 77801335053 107724925458 144871451478 155602670106 161587388187 233404005159 323174776374 466808010318 700212015477 1400424030954 2100636046431 4201272092862