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9030464229900 = 22352487380316253
BaseRepresentation
bin1000001101101001000110…
…0111001101001000001100
31011222022012120122001102110
42003122101213031020030
52140423342320324100
631112312112424020
71621300215311121
oct203322147151014
934868176561373
109030464229900
1129718866a7a33
12101a1b8248010
13506752494729
14233110a54748
15109d82e55250
hex836919cd20c

9030464229900 has 144 divisors (see below), whose sum is σ = 26190290214144. Its totient is φ = 2402399243520.

The previous prime is 9030464229887. The next prime is 9030464229907. The reversal of 9030464229900 is 99224640309.

It is a self number, because there is not a number n which added to its sum of digits gives 9030464229900.

It is not an unprimeable number, because it can be changed into a prime (9030464229907) 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, 555610174 + ... + 555626426.

It is an arithmetic number, because the mean of its divisors is an integer number (181877015376).

Almost surely, 29030464229900 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 9030464229900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13095145107072).

9030464229900 is an abundant number, since it is smaller than the sum of its proper divisors (17159825984244).

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

9030464229900 is a wasteful number, since it uses less digits than its factorization.

9030464229900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20560 (or 20553 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 9030464229900 in words is "nine trillion, thirty billion, four hundred sixty-four million, two hundred twenty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 487 974 1461 1948 2435 2922 3803 4870 5844 7305 7606 9740 11409 12175 14610 15212 16253 19015 22818 24350 29220 32506 36525 38030 45636 48700 48759 57045 65012 73050 76060 81265 95075 97518 114090 146100 162530 190150 195036 228180 243795 285225 325060 380300 406325 487590 570450 812650 975180 1140900 1218975 1625300 1852061 2437950 3704122 4875900 5556183 7408244 7915211 9260305 11112366 15830422 18520610 22224732 23745633 27780915 31660844 37041220 39576055 46301525 47491266 55561830 61810159 79152110 92603050 94982532 111123660 118728165 123620318 138904575 158304220 185206100 185430477 197880275 237456330 247240636 277809150 309050795 370860954 395760550 474912660 555618300 593640825 618101590 741721908 791521100 927152385 1187281650 1236203180 1545253975 1854304770 2374563300 3090507950 3708609540 4635761925 6181015900 9271523850 18543047700 30101547433 60203094866 90304642299 120406189732 150507737165 180609284598 301015474330 361218569196 451523211495 602030948660 752538685825 903046422990 1505077371650 1806092845980 2257616057475 3010154743300 4515232114950 9030464229900