Search a number
-
+
2723005230012 = 2233174999296683
BaseRepresentation
bin100111100111111111110…
…000100110101110111100
3100122022112220202000112000
4213213333300212232330
5324103203314330022
65442533100142300
7400505415363024
oct47477760465674
910568486660460
102723005230012
1195a902511271
1237b8a0b37990
13169a16ba1b42
1495b19244a84
154ac71a796ac
hex279ffc26bbc

2723005230012 has 96 divisors (see below), whose sum is σ = 7476436800000. Its totient is φ = 854102382336.

The previous prime is 2723005229993. The next prime is 2723005230031. The reversal of 2723005230012 is 2100325003272.

It is a happy number.

2723005230012 is a `hidden beast` number, since 2 + 7 + 2 + 300 + 52 + 300 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2723005229993) and next prime (2723005230031).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 9029823 + ... + 9326505.

It is an arithmetic number, because the mean of its divisors is an integer number (77879550000).

Almost surely, 22723005230012 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 2723005230012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738218400000).

2723005230012 is an abundant number, since it is smaller than the sum of its proper divisors (4753431569988).

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

2723005230012 is a wasteful number, since it uses less digits than its factorization.

2723005230012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301712 (or 301704 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 2723005230012 in words is "two trillion, seven hundred twenty-three billion, five million, two hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 4999 9998 14997 19996 29994 44991 59988 84983 89982 134973 169966 179964 254949 269946 296683 339932 509898 539892 593366 764847 890049 1019796 1186732 1529694 1780098 2294541 2670147 3059388 3560196 4589082 5043611 5340294 8010441 9178164 10087222 10680588 15130833 16020882 20174444 30261666 32041764 45392499 60523332 90784998 136177497 181569996 272354994 544709988 1483118317 2966236634 4449354951 5932473268 8898709902 13348064853 17797419804 25213011389 26696129706 40044194559 50426022778 53392259412 75639034167 80088389118 100852045556 151278068334 160176778236 226917102501 302556136668 453834205002 680751307503 907668410004 1361502615006 2723005230012