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117324511270656 = 2834718451176161
BaseRepresentation
bin11010101011010010111101…
…110100010101011100000000
3120101102010001220201100102120
4122223102331310111130000
5110334221044341130111
61053310045244044240
733466262522211054
oct3253227564253400
9511363056640376
10117324511270656
1134424055a72208
12111aa339533680
135060866924b21
1420d87727a1c64
15d86d2e404406
hex6ab4bdd15700

117324511270656 has 144 divisors (see below), whose sum is σ = 318917100569088. Its totient is φ = 38273789952000.

The previous prime is 117324511270613. The next prime is 117324511270669. The reversal of 117324511270656 is 656072115423711.

It is a junction number, because it is equal to n+sod(n) for n = 117324511270599 and 117324511270608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665919216 + ... + 666095376.

Almost surely, 2117324511270656 is an apocalyptic number.

117324511270656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117324511270656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159458550284544).

117324511270656 is an abundant number, since it is smaller than the sum of its proper divisors (201592589298432).

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

117324511270656 is a wasteful number, since it uses less digits than its factorization.

117324511270656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194678 (or 194664 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 117324511270656 in words is "one hundred seventeen trillion, three hundred twenty-four billion, five hundred eleven million, two hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 564 752 768 1128 1504 2256 3008 4512 6016 9024 12032 18048 18451 36096 36902 55353 73804 110706 147608 176161 221412 295216 352322 442824 528483 590432 704644 867197 885648 1056966 1180864 1409288 1734394 1771296 2113932 2361728 2601591 2818576 3468788 3542592 4227864 4723456 5203182 5637152 6937576 7085184 8279567 8455728 10406364 11274304 13875152 14170368 16559134 16911456 20812728 22548608 24838701 27750304 33118268 33822912 41625456 45097216 49677402 55500608 66236536 67645824 83250912 99354804 111001216 132473072 135291648 166501824 198709608 222002432 264946144 333003648 397419216 529892288 666007296 794838432 1059784576 1589676864 2119569152 3179353728 3250346611 6358707456 6500693222 9751039833 13001386444 19502079666 26002772888 39004159332 52005545776 78008318664 104011091552 152766290717 156016637328 208022183104 305532581434 312033274656 416044366208 458298872151 611065162868 624066549312 832088732416 916597744302 1222130325736 1248133098624 1833195488604 2444260651472 2496266197248 3666390977208 4888521302944 7332781954416 9777042605888 14665563908832 19554085211776 29331127817664 39108170423552 58662255635328 117324511270656