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4145557168 = 241723247613
BaseRepresentation
bin1111011100011000…
…0010111010110000
3101200220121010100101
43313012002322300
531442230312133
61523205402144
7204505440334
oct36706027260
911626533311
104145557168
111838071505
12978409354
13510b2630c
142b48037c4
15193e2837d
hexf7182eb0

4145557168 has 120 divisors (see below), whose sum is σ = 9094292928. Its totient is φ = 1823348736.

The previous prime is 4145557103. The next prime is 4145557183. The reversal of 4145557168 is 8617555414.

4145557168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6762430 + ... + 6763042.

Almost surely, 24145557168 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 4145557168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547146464).

4145557168 is an abundant number, since it is smaller than the sum of its proper divisors (4948735760).

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

4145557168 is a wasteful number, since it uses less digits than its factorization.

4145557168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 702 counting only the distinct ones).

The product of its digits is 672000, while the sum is 46.

The square root of 4145557168 is about 64386.0013356941. The cubic root of 4145557168 is about 1606.4269059840.

The spelling of 4145557168 in words is "four billion, one hundred forty-five million, five hundred fifty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 17 23 34 46 47 68 92 94 136 184 188 272 368 376 391 529 613 752 782 799 1058 1081 1226 1564 1598 2116 2162 2452 3128 3196 4232 4324 4904 6256 6392 8464 8648 8993 9808 10421 12784 14099 17296 17986 18377 20842 24863 28198 28811 35972 36754 41684 49726 56396 57622 71944 73508 83368 99452 112792 115244 143888 147016 166736 198904 225584 230488 239683 294032 324277 397808 422671 460976 479366 489787 648554 662653 845342 958732 979574 1297108 1325306 1690684 1917464 1959148 2594216 2650612 3381368 3834928 3918296 5188432 5301224 5512709 6762736 7836592 10602448 11025418 11265101 15241019 22050836 22530202 30482038 44101672 45060404 60964076 88203344 90120808 121928152 180241616 243856304 259097323 518194646 1036389292 2072778584 4145557168