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1355053475376 = 2432471279915643
BaseRepresentation
bin10011101101111111011…
…110110010011000110000
311210112122000011202211200
4103231333132302120300
5134200122142203001
62514300350411200
7166620326332446
oct23557736623060
94715560152750
101355053475376
114827473a7077
1219a750800b00
139aa1cac9c83
14498290dab96
15253ac286086
hex13b7f7b2630

1355053475376 has 120 divisors (see below), whose sum is σ = 3873504460800. Its totient is φ = 442011385728.

The previous prime is 1355053475261. The next prime is 1355053475381. The reversal of 1355053475376 is 6735743505531.

1355053475376 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 0 + 534 + 75 + 37 + 6 = 666.

It is a super-2 number, since 2×13550534753762 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86615811 + ... + 86631453.

It is an arithmetic number, because the mean of its divisors is an integer number (32279203840).

Almost surely, 21355053475376 is an apocalyptic number.

1355053475376 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 1355053475376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936752230400).

1355053475376 is an abundant number, since it is smaller than the sum of its proper divisors (2518450985424).

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

1355053475376 is a wasteful number, since it uses less digits than its factorization.

1355053475376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28503 (or 28494 counting only the distinct ones).

The product of its (nonzero) digits is 19845000, while the sum is 54.

The spelling of 1355053475376 in words is "one trillion, three hundred fifty-five billion, fifty-three million, four hundred seventy-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 12799 15643 25598 31286 38397 46929 51196 62572 76794 93858 102392 115191 125144 140787 153588 187716 204784 230382 250288 281574 307176 375432 460764 563148 601553 614352 735221 750864 921528 1126296 1203106 1470442 1804659 1843056 2205663 2252592 2406212 2940884 3609318 4411326 4812424 5413977 5881768 6616989 7218636 8822652 9624848 10827954 11763536 13233978 14437272 17645304 21655908 26467956 28874544 35290608 43311816 52935912 86623632 105871824 200214757 400429514 600644271 800859028 1201288542 1601718056 1801932813 2402577084 3203436112 3603865626 4805154168 7207731252 9410093579 9610308336 14415462504 18820187158 28230280737 28830925008 37640374316 56460561474 75280748632 84690842211 112921122948 150561497264 169381684422 225842245896 338763368844 451684491792 677526737688 1355053475376