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1435685004351 = 3213432753103657
BaseRepresentation
bin10100111001000101011…
…111101010010000111111
312002020202100121211201200
4110321011133222100333
5142010240330114401
63015313344110543
7205503420120423
oct24710537522077
95066670554650
101435685004351
11503963836224
121b22b4005453
13a54cca19570
144d6b7aa8b83
152752adee686
hex14e457ea43f

1435685004351 has 48 divisors (see below), whose sum is σ = 2286076849056. Its totient is φ = 862630207488.

The previous prime is 1435685004349. The next prime is 1435685004359. The reversal of 1435685004351 is 1534005865341.

1435685004351 is a `hidden beast` number, since 1 + 4 + 3 + 56 + 8 + 500 + 43 + 51 = 666.

It is not a de Polignac number, because 1435685004351 - 21 = 1435685004349 is a prime.

It is a super-2 number, since 2×14356850043512 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1435685004297 and 1435685004306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1435685004359) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13798515 + ... + 13902171.

It is an arithmetic number, because the mean of its divisors is an integer number (47626601022).

Almost surely, 21435685004351 is an apocalyptic number.

1435685004351 is a deficient number, since it is larger than the sum of its proper divisors (850391844705).

1435685004351 is a wasteful number, since it uses less digits than its factorization.

1435685004351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106472 (or 106469 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 1435685004351 in words is "one trillion, four hundred thirty-five billion, six hundred eighty-five million, four thousand, three hundred fifty-one".

Divisors: 1 3 9 13 39 43 117 129 387 559 1677 2753 5031 8259 24777 35789 103657 107367 118379 310971 322101 355137 932913 1065411 1347541 1538927 4042623 4457251 4616781 12127869 13371753 13850343 40115259 57944263 173832789 285367721 521498367 856103163 2568309489 3709780373 11129341119 12270812003 33388023357 36812436009 110437308027 159520556039 478561668117 1435685004351