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34010055553936 = 24711314121719563
BaseRepresentation
bin1111011101110100101010…
…10001111011001110010000
311110102022220020200112012211
413232322111101323032100
513424210043210211221
6200200000454401504
710110100611243160
oct756722521731620
9143368806615184
1034010055553936
11a9226467a1180
123993462960294
1315c91995a64a7
14858149d905a0
153dea2d9676e1
hex1eee9547b390

34010055553936 has 160 divisors (see below), whose sum is σ = 86872695791616. Its totient is φ = 12510467712000.

The previous prime is 34010055553931. The next prime is 34010055553979. The reversal of 34010055553936 is 63935555001043.

It is a self number, because there is not a number n which added to its sum of digits gives 34010055553936.

It is not an unprimeable number, because it can be changed into a prime (34010055553931) 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, 9293910 + ... + 12425653.

Almost surely, 234010055553936 is an apocalyptic number.

It is an amenable number.

34010055553936 is an abundant number, since it is smaller than the sum of its proper divisors (52862640237680).

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

34010055553936 is a wasteful number, since it uses less digits than its factorization.

34010055553936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21719661 (or 21719655 counting only the distinct ones).

The product of its (nonzero) digits is 3645000, while the sum is 49.

The spelling of 34010055553936 in words is "thirty-four trillion, ten billion, fifty-five million, five hundred fifty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 41 44 56 62 77 82 88 112 124 154 164 176 217 248 287 308 328 341 434 451 496 574 616 656 682 868 902 1148 1232 1271 1364 1736 1804 2296 2387 2542 2728 3157 3472 3608 4592 4774 5084 5456 6314 7216 8897 9548 10168 12628 13981 17794 19096 20336 25256 27962 35588 38192 50512 55924 71176 97867 111848 142352 195734 223696 391468 782936 1565872 21719563 43439126 86878252 152036941 173756504 238915193 304073882 347513008 477830386 608147764 673306453 890502083 955660772 1216295528 1346612906 1672406351 1781004166 1911321544 2432591056 2693225812 3344812702 3562008332 3822643088 4713145171 5386451624 6233514581 6689625404 7124016664 7406370983 9426290342 9795522913 10772903248 12467029162 13379250808 14248033328 14812741966 18852580684 19591045826 24934058324 26758501616 27605564573 29625483932 37705161368 39182091652 49868116648 51844596881 55211129146 59250967864 68568660391 75410322736 78364183304 99736233296 103689193762 110422258292 118501935728 137137320782 156728366608 193238952011 207378387524 220844516584 274274641564 303661210303 386477904022 414756775048 441689033168 548549283128 607322420606 772955808044 829513550096 1097098566256 1214644841212 1545911616088 2125628472121 2429289682424 3091823232176 4251256944242 4858579364848 8502513888484 17005027776968 34010055553936