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515340552511104 = 27317768710269689
BaseRepresentation
bin111010100101100110001001…
…0100100100001111010000000
32111120200002001011120001122220
41311023030102210201322000
51020021314422420323404
65024012103113331040
7213356061206011245
oct16513142244417200
92446602034501586
10515340552511104
1113a226778aa0431
1249970550406a80
13191725370a3a68
149138889b855cc
153e8a2cc9954d9
hex1d4b312921e80

515340552511104 has 128 divisors (see below), whose sum is σ = 1449583996579200. Its totient is φ = 161654419390464.

The previous prime is 515340552511063. The next prime is 515340552511153. The reversal of 515340552511104 is 401115255043515.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45045892 + ... + 55315580.

It is an arithmetic number, because the mean of its divisors is an integer number (11324874973275).

Almost surely, 2515340552511104 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 515340552511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724791998289600).

515340552511104 is an abundant number, since it is smaller than the sum of its proper divisors (934243444068096).

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

515340552511104 is a wasteful number, since it uses less digits than its factorization.

515340552511104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10277410 (or 10277398 counting only the distinct ones).

The product of its (nonzero) digits is 300000, while the sum is 42.

The spelling of 515340552511104 in words is "five hundred fifteen trillion, three hundred forty billion, five hundred fifty-two million, five hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 7687 15374 23061 30748 46122 61496 92244 122992 130679 184488 245984 261358 368976 392037 491968 522716 737952 784074 983936 1045432 1475904 1568148 2090864 2951808 3136296 4181728 6272592 8363456 10269689 12545184 16726912 20539378 25090368 30809067 41078756 50180736 61618134 82157512 123236268 164315024 174584713 246472536 328630048 349169426 492945072 523754139 657260096 698338852 985890144 1047508278 1314520192 1396677704 1971780288 2095016556 2793355408 3943560576 4190033112 5586710816 8380066224 11173421632 16760132448 22346843264 33520264896 67040529792 78943099343 157886198686 236829298029 315772397372 473658596058 631544794744 947317192116 1263089589488 1342032688831 1894634384232 2526179178976 2684065377662 3789268768464 4026098066493 5052358357952 5368130755324 7578537536928 8052196132986 10104716715904 10736261510648 15157075073856 16104392265972 21472523021296 30314150147712 32208784531944 42945046042592 64417569063888 85890092085184 128835138127776 171780184170368 257670276255552 515340552511104