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41151913116 = 223193718126951
BaseRepresentation
bin100110010100110110…
…000101110010011100
310221012221120210020020
4212110312011302130
51133234342204431
630523244152140
72654532330036
oct462466056234
9127187523206
1041151913116
11164a8200456
127b85838650
133b5a90b362
141dc5580c56
15110cbc4696
hex994d85c9c

41151913116 has 96 divisors (see below), whose sum is σ = 104384017920. Its totient is φ = 12573792000.

The previous prime is 41151913091. The next prime is 41151913157. The reversal of 41151913116 is 61131915114.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1513441 + ... + 1540391.

It is an arithmetic number, because the mean of its divisors is an integer number (1087333520).

Almost surely, 241151913116 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 41151913116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52192008960).

41151913116 is an abundant number, since it is smaller than the sum of its proper divisors (63232104804).

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

41151913116 is a wasteful number, since it uses less digits than its factorization.

41151913116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27195 (or 27193 counting only the distinct ones).

The product of its digits is 3240, while the sum is 33.

The spelling of 41151913116 in words is "forty-one billion, one hundred fifty-one million, nine hundred thirteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 181 222 228 362 444 543 703 724 1086 1406 2109 2172 2812 3439 4218 6697 6878 8436 10317 13394 13756 20091 20634 26788 26951 40182 41268 53902 80364 80853 107804 127243 161706 254486 323412 381729 508972 512069 763458 997187 1024138 1526916 1536207 1994374 2048276 2991561 3072414 3988748 4878131 5983122 6144828 9756262 11966244 14634393 18946553 19512524 29268786 37893106 56839659 58537572 75786212 92684489 113679318 180490847 185368978 227358636 278053467 360981694 370737956 541472541 556106934 721963388 1082945082 1112213868 2165890164 3429326093 6858652186 10287978279 13717304372 20575956558 41151913116