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45105311504 = 2411833798147
BaseRepresentation
bin101010000000011111…
…000110111100010000
311022102110121020021202
4222000133012330100
51214333424432004
632415431210332
73154515551621
oct520037067420
9138373536252
1045105311504
1118146855150
1288a98169a8
13433a994446
14227c643a48
15128ece1b1e
hexa807c6f10

45105311504 has 80 divisors (see below), whose sum is σ = 96751307520. Its totient is φ = 20199473280.

The previous prime is 45105311483. The next prime is 45105311527. The reversal of 45105311504 is 40511350154.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5532359 + ... + 5540505.

It is an arithmetic number, because the mean of its divisors is an integer number (1209391344).

Almost surely, 245105311504 is an apocalyptic number.

45105311504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45105311504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48375653760).

45105311504 is an abundant number, since it is smaller than the sum of its proper divisors (51645996016).

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

45105311504 is a wasteful number, since it uses less digits than its factorization.

45105311504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8628 (or 8622 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

Adding to 45105311504 its reverse (40511350154), we get a palindrome (85616661658).

The spelling of 45105311504 in words is "forty-five billion, one hundred five million, three hundred eleven thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 44 83 88 166 176 332 379 664 758 913 1328 1516 1826 3032 3652 4169 6064 7304 8147 8338 14608 16294 16676 31457 32588 33352 62914 65176 66704 89617 125828 130352 179234 251656 346027 358468 503312 676201 692054 716936 1352402 1384108 1433872 2704804 2768216 3087713 5409608 5536432 6175426 7438211 10819216 12350852 14876422 24701704 29752844 33964843 49403408 59505688 67929686 119011376 135859372 256280179 271718744 512560358 543437488 1025120716 2050241432 2819081969 4100482864 5638163938 11276327876 22552655752 45105311504