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134353238682768 = 243710115126218663
BaseRepresentation
bin11110100011000110001101…
…000100001110110010010000
3122121201001012012121022121120
4132203012031010032302100
5120102220413100322033
61153425005322522240
740204462334033640
oct3643061504166220
9577631165538546
10134353238682768
1139899985722476
121309a683966380
1359c75c0c12b71
142526a35148520
15107ec81a971b3
hex7a318d10ec90

134353238682768 has 160 divisors (see below), whose sum is σ = 403242213322752. Its totient is φ = 37754873280000.

The previous prime is 134353238682763. The next prime is 134353238682787. The reversal of 134353238682768 is 867286832353431.

It is not an unprimeable number, because it can be changed into a prime (134353238682763) 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, 7984996 + ... + 18233667.

Almost surely, 2134353238682768 is an apocalyptic number.

It is an amenable number.

134353238682768 is an abundant number, since it is smaller than the sum of its proper divisors (268888974639984).

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

134353238682768 is a wasteful number, since it uses less digits than its factorization.

134353238682768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26218933 (or 26218927 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 69.

The spelling of 134353238682768 in words is "one hundred thirty-four trillion, three hundred fifty-three billion, two hundred thirty-eight million, six hundred eighty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 151 168 202 302 303 336 404 453 604 606 707 808 906 1057 1208 1212 1414 1616 1812 2114 2121 2416 2424 2828 3171 3624 4228 4242 4848 5656 6342 7248 8456 8484 11312 12684 15251 16912 16968 25368 30502 33936 45753 50736 61004 91506 106757 122008 183012 213514 244016 320271 366024 427028 640542 732048 854056 1281084 1708112 2562168 5124336 26218663 52437326 78655989 104874652 157311978 183530641 209749304 314623956 367061282 419498608 550591923 629247912 734122564 1101183846 1258495824 1468245128 2202367692 2648084963 2936490256 3959018113 4404735384 5296169926 7918036226 7944254889 8809470768 10592339852 11877054339 15836072452 15888509778 18536594741 21184679704 23754108678 27713126791 31672144904 31777019556 37073189482 42369359408 47508217356 55426253582 55609784223 63344289808 63554039112 74146378964 83139380373 95016434712 110852507164 111219568446 127108078224 148292757928 166278760746 190032869424 221705014328 222439136892 296585515856 332557521492 399860829413 443410028656 444878273784 665115042984 799721658826 889756547568 1199582488239 1330230085968 1599443317652 2399164976478 2799025805891 3198886635304 4798329952956 5598051611782 6397773270608 8397077417673 9596659905912 11196103223564 16794154835346 19193319811824 22392206447128 33588309670692 44784412894256 67176619341384 134353238682768