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5705298261264 = 2437196713338613
BaseRepresentation
bin101001100000101111001…
…0001101011010100010000
3202012102101001020002020210
41103001132101223110100
51221433422323330024
620044551114004120
71126123416031410
oct123013621532420
922172331202223
105705298261264
1118aa67014a278
12781884a16640
133250130cc334
1415a1d05cc640
159d61b9e9129
hex5305e46b510

5705298261264 has 160 divisors (see below), whose sum is σ = 17995390919680. Its totient is φ = 1521242021376.

The previous prime is 5705298261263. The next prime is 5705298261293. The reversal of 5705298261264 is 4621628925075.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (5705298261263) 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, 6241579 + ... + 7097034.

It is an arithmetic number, because the mean of its divisors is an integer number (112471193248).

Almost surely, 25705298261264 is an apocalyptic number.

It is an amenable number.

5705298261264 is an abundant number, since it is smaller than the sum of its proper divisors (12290092658416).

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

5705298261264 is a wasteful number, since it uses less digits than its factorization.

5705298261264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13338717 (or 13338711 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 5705298261264 in words is "five trillion, seven hundred five billion, two hundred ninety-eight million, two hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 67 76 84 112 114 133 134 152 168 201 228 266 268 304 336 399 402 456 469 532 536 798 804 912 938 1064 1072 1273 1407 1596 1608 1876 2128 2546 2814 3192 3216 3752 3819 5092 5628 6384 7504 7638 8911 10184 11256 15276 17822 20368 22512 26733 30552 35644 53466 61104 71288 106932 142576 213864 427728 13338613 26677226 40015839 53354452 80031678 93370291 106708904 160063356 186740582 213417808 253433647 280110873 320126712 373481164 506867294 560221746 640253424 746962328 760300941 893687071 1013734588 1120443492 1493924656 1520601882 1774035529 1787374142 2027469176 2240886984 2681061213 3041203764 3548071058 3574748284 4054938352 4481773968 5322106587 5362122426 6082407528 6255809497 7096142116 7149496568 10644213174 10724244852 12164815056 12511618994 14192284232 14298993136 16980054349 18767428491 21288426348 21448489704 25023237988 28384568464 33960108698 37534856982 42576852696 42896979408 50046475976 50940163047 67920217396 75069713964 85153705392 100092951952 101880326094 118860380443 135840434792 150139427928 203760652188 237720760886 271680869584 300278855856 356581141329 407521304376 475441521772 713162282658 815042608752 950883043544 1426324565316 1901766087088 2852649130632 5705298261264