Search a number
-
+
36220130624 = 262326411669
BaseRepresentation
bin100001101110111000…
…110101010101000000
310110111020120021111102
4201232320311111000
51043134323134444
624350031033532
72421366013316
oct415670652500
9113436507442
1036220130624
11143a7357257
12702a06b8a8
133552c45b72
141a7859a0b6
15e1ec4584e
hex86ee35540

36220130624 has 84 divisors (see below), whose sum is σ = 75297464340. Its totient is φ = 17285283840.

The previous prime is 36220130587. The next prime is 36220130627. The reversal of 36220130624 is 42603102263.

It can be written as a sum of positive squares in 2 ways, for example, as 26817337600 + 9402793024 = 163760^2 + 96968^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36220130627) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21700862 + ... + 21702530.

It is an arithmetic number, because the mean of its divisors is an integer number (896398385).

Almost surely, 236220130624 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 36220130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37648732170).

36220130624 is an abundant number, since it is smaller than the sum of its proper divisors (39077333716).

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

36220130624 is a wasteful number, since it uses less digits than its factorization.

36220130624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 36220130624 its reverse (42603102263), we get a palindrome (78823232887).

The spelling of 36220130624 in words is "thirty-six billion, two hundred twenty million, one hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 641 736 1058 1282 1472 1669 2116 2564 3338 4232 5128 6676 8464 10256 13352 14743 16928 20512 26704 29486 33856 38387 41024 53408 58972 76774 106816 117944 153548 235888 307096 339089 471776 614192 678178 882901 943552 1069829 1228384 1356356 1765802 2139658 2456768 2712712 3531604 4279316 5425424 7063208 8558632 10850848 14126416 17117264 21701696 24606067 28252832 34234528 49212134 56505664 68469056 98424268 196848536 393697072 565939541 787394144 1131879082 1574788288 2263758164 4527516328 9055032656 18110065312 36220130624