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45243013104 = 24331719324239
BaseRepresentation
bin101010001000101100…
…011001011111110000
311022210001201012101000
4222020230121133300
51220124202404404
632441230442000
73161110160202
oct521054313760
9138701635330
1045243013104
1118207557423
128927963300
134360378593
142292a4a772
15129be42339
hexa88b197f0

45243013104 has 160 divisors (see below), whose sum is σ = 144740736000. Its totient is φ = 13446798336.

The previous prime is 45243013097. The next prime is 45243013157. The reversal of 45243013104 is 40131034254.

It is a happy number.

45243013104 is a `hidden beast` number, since 4 + 524 + 3 + 0 + 131 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 22584 + ... + 301655.

It is an arithmetic number, because the mean of its divisors is an integer number (904629600).

Almost surely, 245243013104 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 45243013104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72370368000).

45243013104 is an abundant number, since it is smaller than the sum of its proper divisors (99497722896).

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

45243013104 is a wasteful number, since it uses less digits than its factorization.

45243013104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324292 (or 324280 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 45243013104 its reverse (40131034254), we get a palindrome (85374047358).

The spelling of 45243013104 in words is "forty-five billion, two hundred forty-three million, thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 27 34 36 38 48 51 54 57 68 72 76 102 108 114 136 144 152 153 171 204 216 228 272 304 306 323 342 408 432 456 459 513 612 646 684 816 912 918 969 1026 1224 1292 1368 1836 1938 2052 2448 2584 2736 2907 3672 3876 4104 5168 5814 7344 7752 8208 8721 11628 15504 17442 23256 34884 46512 69768 139536 324239 648478 972717 1296956 1945434 2593912 2918151 3890868 5187824 5512063 5836302 6160541 7781736 8754453 11024126 11672604 12321082 15563472 16536189 17508906 18481623 22048252 23345208 24642164 33072378 35017812 36963246 44096504 46690416 49284328 49608567 55444869 66144756 70035624 73926492 88193008 98568656 99217134 104729197 110889738 132289512 140071248 147852984 148825701 166334607 198434268 209458394 221779476 264579024 295705968 297651402 314187591 332669214 396868536 418916788 443558952 595302804 628375182 665338428 793737072 837833576 887117904 942562773 1190605608 1256750364 1330676856 1675667152 1885125546 2381211216 2513500728 2661353712 2827688319 3770251092 5027001456 5655376638 7540502184 11310753276 15081004368 22621506552 45243013104