Search a number
-
+
45114074223764 = 22713214996766169
BaseRepresentation
bin10100100000111111100000…
…10111100101010010010100
312220201212022101211010102012
422100133300113211102110
521403122111000130024
6235541041455203352
712334245546520550
oct1220376027452224
9186655271733365
1045114074223764
1113413853861317
1250874b0216558
131c23314c67500
14b1d76619a860
155337c206d50e
hex2907f05e5494

45114074223764 has 144 divisors (see below), whose sum is σ = 98461595232000. Its totient is φ = 17708945200128.

The previous prime is 45114074223667. The next prime is 45114074223811. The reversal of 45114074223764 is 46732247041154.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681767672 + ... + 681833840.

It is an arithmetic number, because the mean of its divisors is an integer number (683761078000).

Almost surely, 245114074223764 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 45114074223764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49230797616000).

45114074223764 is an abundant number, since it is smaller than the sum of its proper divisors (53347521008236).

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

45114074223764 is a wasteful number, since it uses less digits than its factorization.

45114074223764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67322 (or 67307 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 50.

The spelling of 45114074223764 in words is "forty-five trillion, one hundred fourteen billion, seventy-four million, two hundred twenty-three thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 149 169 182 298 338 364 596 676 967 1043 1183 1934 1937 2086 2366 3868 3874 4172 4732 6769 7748 12571 13538 13559 25142 25181 27076 27118 50284 50362 54236 66169 87997 100724 132338 144083 163423 175994 176267 264676 288166 326846 351988 352534 463183 576332 653692 705068 860197 926366 1008581 1143961 1720394 1852732 1873079 2017162 2287922 3440788 3746158 4034324 4575844 6021379 7492316 9859181 11182561 12042758 13111553 19718362 22365122 24085516 24350027 26223106 39436724 44730244 48700054 52446212 63985423 69014267 78277927 97400108 127970846 128169353 138028534 156555854 170450189 255941692 256338706 276057068 313111708 340900378 447897961 512677412 681800756 831810499 895795922 897185471 1663620998 1666201589 1791591844 1794370942 3327241996 3332403178 3588741884 5822673493 6664806356 9533828027 10813536487 11645346986 11663411123 19067656054 21627072974 23290693972 23326822246 38135312108 43254145948 46653644492 66736796189 75694755409 123939764351 133473592378 151389510818 247879528702 266947184756 302779021636 495759057404 867578350457 1611216936563 1735156700914 3222433873126 3470313401828 6444867746252 11278518555941 22557037111882 45114074223764