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900424230132 = 2237137355721997
BaseRepresentation
bin11010001101001010111…
…01110110010011110100
310012002011010001012120110
431012211131312103310
5104223032100331012
61525352120103020
7122024231450040
oct15064535662364
93162133035513
10900424230132
11317960005209
12126612304a70
1366ba963235b
143181b897020
151864e8c973c
hexd1a57764f4

900424230132 has 96 divisors (see below), whose sum is σ = 2419447742208. Its totient is φ = 255302820864.

The previous prime is 900424230131. The next prime is 900424230161. The reversal of 900424230132 is 231032424009.

It is a self number, because there is not a number n which added to its sum of digits gives 900424230132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900424230131) 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, 40922958 + ... + 40944954.

It is an arithmetic number, because the mean of its divisors is an integer number (25202580648).

Almost surely, 2900424230132 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 900424230132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209723871104).

900424230132 is an abundant number, since it is smaller than the sum of its proper divisors (1519023512076).

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

900424230132 is a wasteful number, since it uses less digits than its factorization.

900424230132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25705 (or 25703 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 900424230132 in words is "nine hundred billion, four hundred twenty-four million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 274 411 548 822 959 1644 1918 2877 3557 3836 5754 7114 10671 11508 14228 21342 21997 24899 42684 43994 49798 65991 74697 87988 99596 131982 149394 153979 263964 298788 307958 461937 487309 615916 923874 974618 1461927 1847748 1949236 2923854 3013589 3411163 5847708 6027178 6822326 9040767 10233489 12054356 13644652 18081534 20466978 21095123 36163068 40933956 42190246 63285369 78243329 84380492 126570738 156486658 234729987 253141476 312973316 469459974 547703303 938919948 1095406606 1643109909 2190813212 3286219818 6572439636 10719336073 21438672146 32158008219 42877344292 64316016438 75035352511 128632032876 150070705022 225106057533 300141410044 450212115066 900424230132