Search a number
-
+
2465936193420 = 2232573163132007
BaseRepresentation
bin100011111000100101010…
…000000011011110001100
322201202000022222220012200
4203320211100003132030
5310400214131142140
65124500242401500
7343105124542110
oct43704520033614
98652008886180
102465936193420
11870885770217
12339ab9060290
1314b6c9417b7b
14874cda65740
154422835b030
hex23e2540378c

2465936193420 has 144 divisors (see below), whose sum is σ = 8824339550208. Its totient is φ = 545460531840.

The previous prime is 2465936193403. The next prime is 2465936193421. The reversal of 2465936193420 is 243916395642.

2465936193420 is a `hidden beast` number, since 2 + 4 + 6 + 593 + 6 + 1 + 9 + 3 + 42 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2465936193421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31526944 + ... + 31605063.

Almost surely, 22465936193420 is an apocalyptic number.

2465936193420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2465936193420 is an abundant number, since it is smaller than the sum of its proper divisors (6358403356788).

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

2465936193420 is a wasteful number, since it uses less digits than its factorization.

2465936193420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63132060 (or 63132055 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 2465936193420 in words is "two trillion, four hundred sixty-five billion, nine hundred thirty-six million, one hundred ninety-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1085 1116 1260 1302 1395 1860 1953 2170 2604 2790 3255 3906 4340 5580 6510 7812 9765 13020 19530 39060 63132007 126264014 189396021 252528028 315660035 378792042 441924049 568188063 631320070 757584084 883848098 946980105 1136376126 1262640140 1325772147 1767696196 1893960210 1957092217 2209620245 2272752252 2651544294 2840940315 3787920420 3914184434 3977316441 4419240490 5303088588 5681880630 5871276651 6628860735 7828368868 7954632882 8838480980 9785461085 11363761260 11742553302 13257721470 13699645519 15909265764 17613829953 19570922170 19886582205 23485106604 26515442940 27399291038 29356383255 35227659906 39141844340 39773164410 41098936557 54798582076 58712766510 68498227595 70455319812 79546328820 82197873114 88069149765 117425533020 123296809671 136996455190 164395746228 176138299530 205494682785 246593619342 273992910380 352276599060 410989365570 493187238684 616484048355 821978731140 1232968096710 2465936193420