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71507558138172 = 223132317431530853
BaseRepresentation
bin10000010000100100100110…
…100110100000000100111100
3100101012001111200020002221120
4100100210212212200010330
533333034434340410142
6412030041350230540
721030151644255612
oct2020444646400474
9311161450202846
1071507558138172
112086a2044095a2
12802a788655450
1330b9197c55a00
141392dacc196b2
158401206a87ec
hex4109269a013c

71507558138172 has 144 divisors (see below), whose sum is σ = 186752235091968. Its totient is φ = 21263901684480.

The previous prime is 71507558138143. The next prime is 71507558138209. The reversal of 71507558138172 is 27183185570517.

It is a super-2 number, since 2×715075581381722 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45945498 + ... + 47476350.

It is an arithmetic number, because the mean of its divisors is an integer number (1296890521472).

Almost surely, 271507558138172 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 71507558138172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93376117545984).

71507558138172 is an abundant number, since it is smaller than the sum of its proper divisors (115244676953796).

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

71507558138172 is a wasteful number, since it uses less digits than its factorization.

71507558138172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531660 (or 1531645 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 60.

The spelling of 71507558138172 in words is "seventy-one trillion, five hundred seven billion, five hundred fifty-eight million, one hundred thirty-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 169 186 338 372 403 507 676 743 806 1014 1209 1486 1612 2028 2229 2418 2972 4458 4836 5239 8916 9659 10478 15717 19318 20956 23033 28977 31434 38636 46066 57954 62868 69099 92132 115908 125567 138198 251134 276396 299429 376701 502268 598858 753402 898287 1197716 1506804 1530853 1796574 3061706 3593148 3892577 4592559 6123412 7785154 9185118 11677731 15570308 18370236 19901089 23355462 39802178 46710924 47456443 59703267 79604356 94912886 119406534 142369329 189825772 238813068 258714157 284738658 517428314 569477316 616933759 776142471 1034856628 1137423779 1233867518 1552284942 1850801277 2274847558 2467735036 3104569884 3412271337 3701602554 4549695116 6824542674 7403205108 8020138867 13649085348 14786509127 16040277734 24060416601 29573018254 32080555468 35260137149 44359527381 48120833202 59146036508 70520274298 88719054762 96241666404 105780411447 141040548596 177438109524 192224618651 211560822894 384449237302 423121645788 458381782937 576673855953 768898474604 916763565874 1153347711906 1375145348811 1833527131748 2306695423812 2750290697622 5500581395244 5958963178181 11917926356362 17876889534543 23835852712724 35753779069086 71507558138172