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3420001553535 = 335719190476277
BaseRepresentation
bin110001110001000111111…
…110100100110001111111
3110002221121210021211202000
4301301013332210301333
5422013130344203120
611135043234233343
7502041553362210
oct61610776446177
913087553254660
103420001553535
1110a9461799306
1247299b725853
131ba673c6b008
14bb759667407
155de670b3990
hex31c47fa4c7f

3420001553535 has 64 divisors (see below), whose sum is σ = 7314289075200. Its totient is φ = 1481143522176.

The previous prime is 3420001553461. The next prime is 3420001553567. The reversal of 3420001553535 is 5353551000243.

3420001553535 is a `hidden beast` number, since 34 + 20 + 0 + 0 + 1 + 553 + 53 + 5 = 666.

3420001553535 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3420001553535 - 210 = 3420001552511 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3420001553535.

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, 95220184 + ... + 95256093.

It is an arithmetic number, because the mean of its divisors is an integer number (114285766800).

Almost surely, 23420001553535 is an apocalyptic number.

3420001553535 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3420001553535 is an abundant number, since it is smaller than the sum of its proper divisors (3894287521665).

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

3420001553535 is a wasteful number, since it uses less digits than its factorization.

3420001553535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190476317 (or 190476311 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

Adding to 3420001553535 its reverse (5353551000243), we get a palindrome (8773552553778).

The spelling of 3420001553535 in words is "three trillion, four hundred twenty billion, one million, five hundred fifty-three thousand, five hundred thirty-five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 95 105 133 135 171 189 285 315 399 513 665 855 945 1197 1995 2565 3591 5985 17955 190476277 571428831 952381385 1333333939 1714286493 2857144155 3619049263 4000001817 5142859479 6666669695 8571432465 10857147789 12000005451 18095246315 20000009085 25333344841 25714297395 32571443367 36000016353 54285738945 60000027255 76000034523 97714330101 126666724205 162857216835 180000081765 228000103569 380000172615 488571650505 684000310707 1140000517845 3420001553535