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8113336985664 = 2636131872
BaseRepresentation
bin111011000010000100010…
…0100011010100001000000
31001201121221101220211000000
41312010020210122201000
52030412103232020124
625131114321000000
71465112024333661
oct166041044324100
931647841824000
108113336985664
11264893523a039
12ab0504183000
1346b113552ba1
1420098ab09368
15e10a6eb96c9
hex7610891a840

8113336985664 has 147 divisors (see below), whose sum is σ = 24140642803327. Its totient is φ = 2704240577664.

The previous prime is 8113336985657. The next prime is 8113336985671. The reversal of 8113336985664 is 4665896333118.

The square root of 8113336985664 is 2848392.

It is a perfect power (a square), and thus also a powerful number.

8113336985664 is a `hidden beast` number, since 8 + 1 + 1 + 3 + 3 + 3 + 69 + 8 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (8113336985657) and next prime (8113336985671).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 615246079 + ... + 615259265.

Almost surely, 28113336985664 is an apocalyptic number.

8113336985664 is the 2848392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8113336985664

8113336985664 is an abundant number, since it is smaller than the sum of its proper divisors (16027305817663).

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

8113336985664 is an frugal number, since it uses more digits than its factorization.

8113336985664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26404 (or 13192 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 8113336985664 in words is "eight trillion, one hundred thirteen billion, three hundred thirty-six million, nine hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 13187 15552 23328 26374 39561 46656 52748 79122 105496 118683 158244 210992 237366 316488 356049 421984 474732 632976 712098 843968 949464 1068147 1265952 1424196 1898928 2136294 2531904 2848392 3204441 3797856 4272588 5696784 6408882 7595712 8545176 9613323 11393568 12817764 17090352 19226646 22787136 25635528 34180704 38453292 51271056 68361408 76906584 102542112 153813168 173896969 205084224 307626336 347793938 521690907 615252672 695587876 1043381814 1391175752 1565072721 2086763628 2782351504 3130145442 4173527256 4695218163 5564703008 6260290884 8347054512 9390436326 11129406016 12520581768 14085654489 16694109024 18780872652 25041163536 28171308978 33388218048 37561745304 42256963467 50082327072 56342617956 75123490608 84513926934 100164654144 112685235912 126770890401 150246981216 169027853868 225370471824 253541780802 300493962432 338055707736 450740943648 507083561604 676111415472 901481887296 1014167123208 1352222830944 2028334246416 2704445661888 4056668492832 8113336985664