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1336064065152 = 27365921792423
BaseRepresentation
bin10011011100010011100…
…111111011111010000000
311201201121121020210010220
4103130103213323322000
5133342224400041102
62501440201423040
7165345625113435
oct23342347737200
94651547223126
101336064065152
11475692374113
12196b3119aa80
1398cb48c966b
144894711bb8c
1524b4a0de1bc
hex137139fbe80

1336064065152 has 128 divisors (see below), whose sum is σ = 3557404224000. Its totient is φ = 444291369984.

The previous prime is 1336064065123. The next prime is 1336064065157. The reversal of 1336064065152 is 2515604606331.

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

It is not an unprimeable number, because it can be changed into a prime (1336064065157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551407813 + ... + 551410235.

It is an arithmetic number, because the mean of its divisors is an integer number (27792220500).

Almost surely, 21336064065152 is an apocalyptic number.

1336064065152 is a gapful number since it is divisible by the number (12) 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 1336064065152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778702112000).

1336064065152 is an abundant number, since it is smaller than the sum of its proper divisors (2221340158848).

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

1336064065152 is a wasteful number, since it uses less digits than its factorization.

1336064065152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5278 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 1336064065152 in words is "one trillion, three hundred thirty-six billion, sixty-four million, sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 659 1318 1977 2179 2423 2636 3954 4358 4846 5272 6537 7269 7908 8716 9692 10544 13074 14538 15816 17432 19384 21088 26148 29076 31632 34864 38768 42176 52296 58152 63264 69728 77536 84352 104592 116304 126528 139456 155072 209184 232608 253056 278912 310144 418368 465216 836736 930432 1435961 1596757 2871922 3193514 4307883 4790271 5279717 5743844 6387028 8615766 9580542 10559434 11487688 12774056 15839151 17231532 19161084 21118868 22975376 25548112 31678302 34463064 38322168 42237736 45950752 51096224 63356604 68926128 76644336 84475472 91901504 102192448 126713208 137852256 153288672 168950944 183803008 204384896 253426416 275704512 306577344 337901888 506852832 551409024 613154688 675803776 1013705664 2027411328 3479333503 6958667006 10438000509 13917334012 20876001018 27834668024 41752002036 55669336048 83504004072 111338672096 167008008144 222677344192 334016016288 445354688384 668032032576 1336064065152