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34133291808 = 2537211659657
BaseRepresentation
bin11111110010100000…
…001011001100100000
310021002210210212210220
4133302200023030200
51024401110314213
623403002523040
72315566123200
oct376240131440
9107083725726
1034133291808
1113526398380
126747206480
1332ac7b56b5
14191b378400
15d4b92ce23
hex7f280b320

34133291808 has 144 divisors (see below), whose sum is σ = 113703930144. Its totient is φ = 8865776640.

The previous prime is 34133291807. The next prime is 34133291831. The reversal of 34133291808 is 80819233143.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 34133291808.

It is not an unprimeable number, because it can be changed into a prime (34133291807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278085 + ... + 381572.

It is an arithmetic number, because the mean of its divisors is an integer number (789610626).

Almost surely, 234133291808 is an apocalyptic number.

It is an amenable number.

34133291808 is an abundant number, since it is smaller than the sum of its proper divisors (79570638336).

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

34133291808 is a wasteful number, since it uses less digits than its factorization.

34133291808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659695 (or 659680 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 34133291808 in words is "thirty-four billion, one hundred thirty-three million, two hundred ninety-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 264 294 308 336 352 392 462 528 539 588 616 672 784 924 1056 1078 1176 1232 1568 1617 1848 2156 2352 2464 3234 3696 4312 4704 6468 7392 8624 12936 17248 25872 51744 659657 1319314 1978971 2638628 3957942 4617599 5277256 7256227 7915884 9235198 10554512 13852797 14512454 15831768 18470396 21109024 21768681 27705594 29024908 31663536 32323193 36940792 43537362 50793589 55411188 58049816 63327072 64646386 73881584 87074724 96969579 101587178 110822376 116099632 129292772 147763168 152380767 174149448 193939158 203174356 221644752 232199264 258585544 304761534 348298896 355555123 387878316 406348712 443289504 517171088 609523068 696597792 711110246 775756632 812697424 1034342176 1066665369 1219046136 1422220492 1551513264 1625394848 2133330738 2438092272 2844440984 3103026528 4266661476 4876184544 5688881968 8533322952 11377763936 17066645904 34133291808