Search a number
-
+
7799056272240 = 2435434723160009
BaseRepresentation
bin111000101111101101111…
…1110101000101101110000
31000121120201122022101020220
41301133123332220231300
52010234431401202430
624330500442333040
71433314612341312
oct161373376505560
930546648271226
107799056272240
112537619a43442
12a5b6141ba180
134475a8c0b0bc
141cd6950db7b2
15d7d10c28110
hex717dbfa8b70

7799056272240 has 160 divisors (see below), whose sum is σ = 24744724688640. Its totient is φ = 2030939301888.

The previous prime is 7799056272239. The next prime is 7799056272299. The reversal of 7799056272240 is 422726509977.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 48661356 + ... + 48821364.

It is an arithmetic number, because the mean of its divisors is an integer number (154654529304).

Almost surely, 27799056272240 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 7799056272240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12372362344320).

7799056272240 is an abundant number, since it is smaller than the sum of its proper divisors (16945668416400).

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

7799056272240 is a wasteful number, since it uses less digits than its factorization.

7799056272240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164791 (or 164785 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 60.

The spelling of 7799056272240 in words is "seven trillion, seven hundred ninety-nine billion, fifty-six million, two hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 4723 5160 9446 10320 14169 18892 23615 28338 37784 47230 56676 70845 75568 94460 113352 141690 160009 188920 203089 226704 283380 320018 377840 406178 480027 566760 609267 640036 800045 812356 960054 1015445 1133520 1218534 1280072 1600090 1624712 1920108 2030890 2400135 2437068 2560144 3046335 3200180 3249424 3840216 4061780 4800270 4874136 6092670 6400360 6880387 7680432 8123560 9600540 9748272 12185340 12800720 13760774 16247120 19201080 20641161 24370680 27521548 34401935 38402160 41282322 48741360 55043096 68803870 82564644 103205805 110086192 137607740 165129288 206411610 275215480 330258576 412823220 550430960 755722507 825646440 1511445014 1651292880 2267167521 3022890028 3778612535 4534335042 6045780056 7557225070 9068670084 11335837605 12091560112 15114450140 18137340168 22671675210 30228900280 32496067801 36274680336 45343350420 60457800560 64992135602 90686700840 97488203403 129984271204 162480339005 181373401680 194976406806 259968542408 324960678010 389952813612 487441017015 519937084816 649921356020 779905627224 974882034030 1299842712040 1559811254448 1949764068060 2599685424080 3899528136120 7799056272240