Search a number
-
+
5641637112 = 2332597916811
BaseRepresentation
bin1010100000100010…
…01000110011111000
3112120011201212012200
411100101020303320
543023224341422
62331451510200
7256543060416
oct52021106370
915504655180
105641637112
112435614511
121115458360
136bba75217
143b73a62b6
1523044b2ac
hex150448cf8

5641637112 has 96 divisors (see below), whose sum is σ = 15736032000. Its totient is φ = 1825162560.

The previous prime is 5641637107. The next prime is 5641637147. The reversal of 5641637112 is 2117361465.

5641637112 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 637 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327187 + ... + 343997.

It is an arithmetic number, because the mean of its divisors is an integer number (163917000).

Almost surely, 25641637112 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 5641637112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7868016000).

5641637112 is an abundant number, since it is smaller than the sum of its proper divisors (10094394888).

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

5641637112 is a wasteful number, since it uses less digits than its factorization.

5641637112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16961 (or 16954 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 5641637112 is about 75110.8321881738. The cubic root of 5641637112 is about 1780.1983021928.

Adding to 5641637112 its reverse (2117361465), we get a palindrome (7758998577).

It can be divided in two parts, 56416 and 37112, that added together give a triangular number (93528 = T432).

The spelling of 5641637112 in words is "five billion, six hundred forty-one million, six hundred thirty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 79 118 158 177 236 237 316 354 472 474 531 632 708 711 948 1062 1416 1422 1896 2124 2844 4248 4661 5688 9322 13983 16811 18644 27966 33622 37288 41949 50433 55932 67244 83898 100866 111864 134488 151299 167796 201732 302598 335592 403464 605196 991849 1210392 1328069 1983698 2656138 2975547 3967396 3984207 5312276 5951094 7934792 7968414 8926641 10624552 11902188 11952621 15936828 17853282 23804376 23905242 31873656 35706564 47810484 71413128 78356071 95620968 156712142 235068213 313424284 470136426 626848568 705204639 940272852 1410409278 1880545704 2820818556 5641637112