Search a number
-
+
41922636032 = 281943227883
BaseRepresentation
bin100111000010110010…
…001010100100000000
311000012122211120022102
4213002302022210000
51141324143323112
631131535325532
73012611345444
oct470262124400
9130178746272
1041922636032
1116863264a42
12815b9808a8
133c514b0314
142059a88824
1511556b6bc2
hex9c2c8a900

41922636032 has 144 divisors (see below), whose sum is σ = 90633903360. Its totient is φ = 19288958976.

The previous prime is 41922635983. The next prime is 41922636037. The reversal of 41922636032 is 23063622914.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (41922636037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47477063 + ... + 47477945.

Almost surely, 241922636032 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 41922636032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45316951680).

41922636032 is an abundant number, since it is smaller than the sum of its proper divisors (48711267328).

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

41922636032 is a wasteful number, since it uses less digits than its factorization.

41922636032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The spelling of 41922636032 in words is "forty-one billion, nine hundred twenty-two million, six hundred thirty-six thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 43 64 76 86 128 152 172 227 256 304 344 454 608 688 817 883 908 1216 1376 1634 1766 1816 2432 2752 3268 3532 3632 4313 4864 5504 6536 7064 7264 8626 9761 11008 13072 14128 14528 16777 17252 19522 26144 28256 29056 33554 34504 37969 39044 52288 56512 58112 67108 69008 75938 78088 104576 113024 134216 138016 151876 156176 185459 200441 209152 226048 268432 276032 303752 312352 370918 400882 536864 552064 607504 624704 721411 741836 801764 1073728 1104128 1215008 1249408 1442822 1483672 1603528 2147456 2430016 2498816 2885644 2967344 3207056 3808379 4294912 4860032 5771288 5934688 6414112 7616758 8618963 9720064 11542576 11869376 12828224 15233516 17237926 23085152 23738752 25656448 30467032 34475852 46170304 47477504 51312896 60934064 68951704 92340608 121868128 137903408 163760297 184681216 243736256 275806816 327520594 487472512 551613632 655041188 974945024 1103227264 1310082376 2206454528 2620164752 5240329504 10480659008 20961318016 41922636032