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35142485136 = 24311177949559
BaseRepresentation
bin100000101110101001…
…111100010010010000
310100201010210012210120
4200232221330102100
51033432434011021
624051053230240
72352602123613
oct405651742220
9110633705716
1035142485136
11139a4020250
126989192380
1334108c1205
1419b53da17a
15daa3282c6
hex82ea7c490

35142485136 has 160 divisors (see below), whose sum is σ = 106193203200. Its totient is φ = 9895741440.

The previous prime is 35142485113. The next prime is 35142485137. The reversal of 35142485136 is 63158424153.

It is not an unprimeable number, because it can be changed into a prime (35142485137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684325 + ... + 733883.

It is an arithmetic number, because the mean of its divisors is an integer number (663707520).

Almost surely, 235142485136 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 35142485136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53096601600).

35142485136 is an abundant number, since it is smaller than the sum of its proper divisors (71050718064).

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

35142485136 is a wasteful number, since it uses less digits than its factorization.

35142485136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49677 (or 49671 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The spelling of 35142485136 in words is "thirty-five billion, one hundred forty-two million, four hundred eighty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 79 88 102 132 136 158 176 187 204 237 264 272 316 374 408 474 528 561 632 748 816 869 948 1122 1264 1343 1496 1738 1896 2244 2607 2686 2992 3476 3792 4029 4488 5214 5372 6952 8058 8976 10428 10744 13904 14773 16116 20856 21488 29546 32232 41712 44319 49559 59092 64464 88638 99118 118184 148677 177276 198236 236368 297354 354552 396472 545149 594708 709104 792944 842503 1090298 1189416 1635447 1685006 2180596 2378832 2527509 3270894 3370012 3915161 4361192 5055018 6541788 6740024 7830322 8722384 9267533 10110036 11745483 13083576 13480048 15660644 18535066 20220072 23490966 26167152 27802599 31321288 37070132 40440144 43066771 46981932 55605198 62642576 66557737 74140264 86133542 93963864 111210396 129200313 133115474 148280528 172267084 187927728 199673211 222420792 258400626 266230948 344534168 399346422 444841584 516801252 532461896 689068336 732135107 798692844 1033602504 1064923792 1464270214 1597385688 2067205008 2196405321 2928540428 3194771376 4392810642 5857080856 8785621284 11714161712 17571242568 35142485136