Search a number
-
+
5100126033000 = 233534633671797
BaseRepresentation
bin100101000110111011100…
…1100110101010001101000
3200001120022112220121102210
41022031313030311101220
51132030024231024000
614502544320525120
71034320606666605
oct112156714652150
920046275817383
105100126033000
111696a51205069
126a4531a807a0
132acc2aa3093b
14138bc14536ac
158c9eca54350
hex4a377335468

5100126033000 has 128 divisors (see below), whose sum is σ = 15946765585920. Its totient is φ = 1357095801600.

The previous prime is 5100126032971. The next prime is 5100126033001. The reversal of 5100126033000 is 3306210015.

It is a super-2 number, since 2×51001260330002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5100126033001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446899 + ... + 3224898.

It is an arithmetic number, because the mean of its divisors is an integer number (124584106140).

Almost surely, 25100126033000 is an apocalyptic number.

5100126033000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5100126033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7973382792960).

5100126033000 is an abundant number, since it is smaller than the sum of its proper divisors (10846639552920).

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

5100126033000 is a wasteful number, since it uses less digits than its factorization.

5100126033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672284 (or 3672270 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The spelling of 5100126033000 in words is "five trillion, one hundred billion, one hundred twenty-six million, thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 463 500 600 750 926 1000 1389 1500 1852 2315 2778 3000 3704 4630 5556 6945 9260 11112 11575 13890 18520 23150 27780 34725 46300 55560 57875 69450 92600 115750 138900 173625 231500 277800 347250 463000 694500 1389000 3671797 7343594 11015391 14687188 18358985 22030782 29374376 36717970 44061564 55076955 73435940 88123128 91794925 110153910 146871880 183589850 220307820 275384775 367179700 440615640 458974625 550769550 734359400 917949250 1101539100 1376923875 1700042011 1835898500 2203078200 2753847750 3400084022 3671797000 5100126033 5507695500 6800168044 8500210055 10200252066 11015391000 13600336088 17000420110 20400504132 25500630165 34000840220 40801008264 42501050275 51001260330 68001680440 85002100550 102002520660 127503150825 170004201100 204005041320 212505251375 255006301650 340008402200 425010502750 510012603300 637515754125 850021005500 1020025206600 1275031508250 1700042011000 2550063016500 5100126033000