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10355435216445 = 3511411601956113
BaseRepresentation
bin1001011010110001000000…
…0010011001111000111101
31100122222012002022001111010
42112230100002121320331
52324130412403411240
634005115443145433
72116104224004534
oct226542002317075
940588162261433
1010355435216445
113332796239990
1211b2b52375279
135a1689aa7447
1427b2c479331b
1512e57e21b280
hex96b10099e3d

10355435216445 has 64 divisors (see below), whose sum is σ = 18527378220288. Its totient is φ = 4895293440000.

The previous prime is 10355435216417. The next prime is 10355435216471. The reversal of 10355435216445 is 54461253455301.

It is a happy number.

It is not a de Polignac number, because 10355435216445 - 29 = 10355435215933 is a prime.

It is a super-3 number, since 3×103554352164453 (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 10355435216394 and 10355435216403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10352709 + ... + 11308821.

It is an arithmetic number, because the mean of its divisors is an integer number (289490284692).

Almost surely, 210355435216445 is an apocalyptic number.

10355435216445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10355435216445 is a deficient number, since it is larger than the sum of its proper divisors (8171943003843).

10355435216445 is a wasteful number, since it uses less digits than its factorization.

10355435216445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957774.

The product of its (nonzero) digits is 4320000, while the sum is 48.

The spelling of 10355435216445 in words is "ten trillion, three hundred fifty-five billion, four hundred thirty-five million, two hundred sixteen thousand, four hundred forty-five".

Divisors: 1 3 5 11 15 33 41 55 123 165 205 451 615 1353 1601 2255 4803 6765 8005 17611 24015 52833 65641 88055 196923 264165 328205 722051 956113 984615 2166153 2868339 3610255 4780565 10517243 10830765 14341695 31551729 39200633 52586215 117601899 157758645 196003165 431206963 588009495 1293620889 1530736913 2156034815 4592210739 6468104445 7653684565 16838106043 22961053695 50514318129 62760213433 84190530215 188280640299 252571590645 313801067165 690362347763 941403201495 2071087043289 3451811738815 10355435216445