Search a number
-
+
77631406090 = 2573112920047
BaseRepresentation
bin100100001001100110…
…0010100000000001010
321102101021012000222121
41020103030110000022
52232442114443330
655355142241454
75415531031000
oct1102314240012
9242337160877
1077631406090
112aa179a5457
121306672628a
1374224c4164
143a86372a70
15204559d17a
hex121331400a

77631406090 has 64 divisors (see below), whose sum is σ = 163110528000. Its totient is φ = 26591580288.

The previous prime is 77631406081. The next prime is 77631406093. The reversal of 77631406090 is 9060413677.

It is not an unprimeable number, because it can be changed into a prime (77631406093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3862447 + ... + 3882493.

It is an arithmetic number, because the mean of its divisors is an integer number (2548602000).

Almost surely, 277631406090 is an apocalyptic number.

77631406090 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

77631406090 is an abundant number, since it is smaller than the sum of its proper divisors (85479121910).

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

77631406090 is a wasteful number, since it uses less digits than its factorization.

77631406090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21204 (or 21190 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 43.

The spelling of 77631406090 in words is "seventy-seven billion, six hundred thirty-one million, four hundred six thousand, ninety".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 343 490 686 1129 1715 2258 3430 5645 7903 11290 15806 20047 39515 40094 55321 79030 100235 110642 140329 200470 276605 280658 387247 553210 701645 774494 982303 1403290 1936235 1964606 3872470 4911515 6876121 9823030 13752242 22633063 34380605 45266126 68761210 113165315 158431441 226330630 316862882 792157205 1109020087 1584314410 2218040174 5545100435 7763140609 11090200870 15526281218 38815703045 77631406090