Search a number
-
+
5670261221520 = 243573557948877
BaseRepresentation
bin101001010000011010111…
…1001111110100010010000
3202002001221020212001100010
41102200311321332202100
51220400143333042040
620020514304354520
71123443234066450
oct122406571764220
922061836761303
105670261221520
1118968206aa785
12776b27015a40
1332191b30a35c
141586291ddd60
159c76aa9de80
hex52835e7e890

5670261221520 has 160 divisors (see below), whose sum is σ = 20094594363648. Its totient is φ = 1295693973504.

The previous prime is 5670261221491. The next prime is 5670261221587. The reversal of 5670261221520 is 251221620765.

It is a super-2 number, since 2×56702612215202 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5501322 + ... + 6450198.

Almost surely, 25670261221520 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 5670261221520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10047297181824).

5670261221520 is an abundant number, since it is smaller than the sum of its proper divisors (14424333142128).

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

5670261221520 is a wasteful number, since it uses less digits than its factorization.

5670261221520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952457 (or 952451 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 5670261221520 in words is "five trillion, six hundred seventy billion, two hundred sixty-one million, two hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 3557 7114 10671 14228 17785 21342 24899 28456 35570 42684 49798 53355 56912 71140 74697 85368 99596 106710 124495 142280 149394 170736 199192 213420 248990 284560 298788 373485 398384 426840 497980 597576 746970 853680 948877 995960 1195152 1493940 1897754 1991920 2846631 2987880 3795508 4744385 5693262 5975760 6642139 7591016 9488770 11386524 13284278 14233155 15182032 18977540 19926417 22773048 26568556 28466310 33210695 37955080 39852834 45546096 53137112 56932620 66421390 75910160 79705668 99632085 106274224 113865240 132842780 159411336 199264170 227730480 265685560 318822672 398528340 531371120 797056680 1594113360 3375155489 6750310978 10125466467 13500621956 16875777445 20250932934 23626088423 27001243912 33751554890 40501865868 47252176846 50627332335 54002487824 67503109780 70878265269 81003731736 94504353692 101254664670 118130442115 135006219560 141756530538 162007463472 189008707384 202509329340 236260884230 270012439120 283513061076 354391326345 378017414768 405018658680 472521768460 567026122152 708782652690 810037317360 945043536920 1134052244304 1417565305380 1890087073840 2835130610760 5670261221520