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90300008300 = 225215125723269
BaseRepresentation
bin101010000011001001…
…1001100011101101100
322122002011101201010212
41110012103030131230
52434413300231200
6105252214321552
76344501256215
oct1240623143554
9278064351125
1090300008300
1135329000837
12156013592b8
138691023a98
144528ab440c
15253788d035
hex15064cc76c

90300008300 has 72 divisors (see below), whose sum is σ = 198024721440. Its totient is φ = 35739648000.

The previous prime is 90300008269. The next prime is 90300008311. The reversal of 90300008300 is 380000309.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3869066 + ... + 3892334.

Almost surely, 290300008300 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 90300008300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99012360720).

90300008300 is an abundant number, since it is smaller than the sum of its proper divisors (107724713140).

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

90300008300 is a wasteful number, since it uses less digits than its factorization.

90300008300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23691 (or 23684 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 90300008300 its reverse (380000309), we get a palindrome (90680008609).

The spelling of 90300008300 in words is "ninety billion, three hundred million, eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 257 302 514 604 755 1028 1285 1510 2570 3020 3775 5140 6425 7550 12850 15100 23269 25700 38807 46538 77614 93076 116345 155228 194035 232690 388070 465380 581725 776140 970175 1163450 1940350 2326900 3513619 3880700 5980133 7027238 11960266 14054476 17568095 23920532 29900665 35136190 59801330 70272380 87840475 119602660 149503325 175680950 299006650 351361900 598013300 903000083 1806000166 3612000332 4515000415 9030000830 18060001660 22575002075 45150004150 90300008300