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113326560511168 = 2679136132215113
BaseRepresentation
bin11001110001000111100101…
…011000100000010011000000
3112212020220122212000212000011
4121301013211120200103000
5104323220243442324133
61041005300404234304
732604400546362034
oct3161074530402300
9485226585025004
10113326560511168
1133122584a9a344
121086354399b994
134b30858554254
141ddb06b6981c4
15d17d3d2d66cd
hex6711e56204c0

113326560511168 has 112 divisors (see below), whose sum is σ = 228011669919360. Its totient is φ = 55876630118400.

The previous prime is 113326560511133. The next prime is 113326560511193. The reversal of 113326560511168 is 861115065623311.

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, 22164394180 + ... + 22164399292.

Almost surely, 2113326560511168 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 113326560511168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114005834959680).

113326560511168 is an abundant number, since it is smaller than the sum of its proper divisors (114685109408192).

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

113326560511168 is a wasteful number, since it uses less digits than its factorization.

113326560511168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9786 (or 9776 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

The spelling of 113326560511168 in words is "one hundred thirteen trillion, three hundred twenty-six billion, five hundred sixty million, five hundred eleven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 79 158 316 632 1264 1361 2528 2722 3221 5056 5113 5444 6442 10226 10888 12884 20452 21776 25768 40904 43552 51536 81808 87104 103072 107519 163616 206144 215038 254459 327232 403927 430076 508918 807854 860152 1017836 1615708 1720304 2035672 3231416 3440608 4071344 4383781 6462832 6881216 6958793 8142688 8767562 12925664 13917586 16285376 16468973 17535124 25851328 27835172 32937946 35070248 55670344 65875892 70140496 111340688 131751784 140280992 222681376 263503568 280561984 346318699 445362752 527007136 549744647 692637398 1054014272 1099489294 1301048867 1385274796 2198978588 2602097734 2770549592 4397957176 5204195468 5541099184 8795914352 10408390936 11082198368 17591828704 20816781872 22164396736 22414272253 35183657408 41633563744 44828544506 83267127488 89657089012 179314178024 358628356048 717256712096 1434513424192 1770727507987 3541455015974 7082910031948 14165820063896 28331640127792 56663280255584 113326560511168