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35146061808 = 243111326319469
BaseRepresentation
bin100000101110110111…
…100101011111110000
310100201101111221001220
4200232313211133300
51033434342434213
624051302025040
72352644411334
oct405667453760
9110641457056
1035146061808
11139a6043480
12698a418180
1334115741a0
1419b5a8b7c4
15daa7d2e23
hex82ede57f0

35146061808 has 160 divisors (see below), whose sum is σ = 107078146560. Its totient is φ = 9793182720.

The previous prime is 35146061801. The next prime is 35146061837. The reversal of 35146061808 is 80816064153.

It is a super-2 number, since 2×351460618082 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 35146061808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35146061801) 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, 1795498 + ... + 1814966.

It is an arithmetic number, because the mean of its divisors is an integer number (669238416).

Almost surely, 235146061808 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 35146061808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53539073280).

35146061808 is an abundant number, since it is smaller than the sum of its proper divisors (71932084752).

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

35146061808 is a wasteful number, since it uses less digits than its factorization.

35146061808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19767 (or 19761 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 35146061808 in words is "thirty-five billion, one hundred forty-six million, sixty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 263 264 286 312 429 526 528 572 624 789 858 1052 1144 1578 1716 2104 2288 2893 3156 3419 3432 4208 5786 6312 6838 6864 8679 10257 11572 12624 13676 17358 19469 20514 23144 27352 34716 37609 38938 41028 46288 54704 58407 69432 75218 77876 82056 112827 116814 138864 150436 155752 164112 214159 225654 233628 253097 300872 311504 428318 451308 467256 506194 601744 642477 759291 856636 902616 934512 1012388 1284954 1518582 1713272 1805232 2024776 2569908 2784067 3037164 3426544 4049552 5120347 5139816 5568134 6074328 8352201 10240694 10279632 11136268 12148656 15361041 16704402 20481388 22272536 30722082 33408804 40962776 44545072 56323817 61444164 66564511 66817608 81925552 112647634 122888328 133129022 133635216 168971451 199693533 225295268 245776656 266258044 337942902 399387066 450590536 532516088 675885804 732209621 798774132 901181072 1065032176 1351771608 1464419242 1597548264 2196628863 2703543216 2928838484 3195096528 4393257726 5857676968 8786515452 11715353936 17573030904 35146061808