Search a number
-
+
90436561684 = 22721930837877
BaseRepresentation
bin101010000111001110…
…0000110101100010100
322122102200100100011121
41110032130012230110
52440203224433214
6105313533213324
76351050043100
oct1241634065424
9278380310147
1090436561684
1135399099377
121563b031244
1386b33c53c1
14453cc9c900
152544863424
hex150e706b14

90436561684 has 72 divisors (see below), whose sum is σ = 193880100960. Its totient is φ = 36702033984.

The previous prime is 90436561681. The next prime is 90436561717. The reversal of 90436561684 is 48616563409.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90436561681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11477154 + ... + 11485030.

It is an arithmetic number, because the mean of its divisors is an integer number (2692779180).

Almost surely, 290436561684 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 90436561684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96940050480).

90436561684 is an abundant number, since it is smaller than the sum of its proper divisors (103443539276).

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

90436561684 is a wasteful number, since it uses less digits than its factorization.

90436561684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10997 (or 10988 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 90436561684 in words is "ninety billion, four hundred thirty-six million, five hundred sixty-one thousand, six hundred eighty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 532 931 1862 3083 3724 6166 7877 12332 15754 21581 31508 43162 55139 58577 86324 110278 117154 149663 151067 220556 234308 299326 302134 385973 410039 598652 604268 771946 820078 1047641 1543892 1640156 2095282 2870273 4190564 5740546 7333487 11481092 14666974 24284791 29333948 48569582 97139164 169993537 339987074 461411029 679974148 922822058 1189954759 1845644116 2379909518 3229877203 4759819036 6459754406 12919508812 22609140421 45218280842 90436561684