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34533545013 = 32112931537321
BaseRepresentation
bin100000001010010111…
…000001010000110101
310022010200221211222200
4200022113001100311
51031211041420023
623510421415113
72331526201152
oct401227012065
9108120854880
1034533545013
1113711316550
12683926a499
1333446b5306
1419585a7229
15d71b41743
hex80a5c1435

34533545013 has 96 divisors (see below), whose sum is σ = 59213306880. Its totient is φ = 19184256000.

The previous prime is 34533544993. The next prime is 34533545027. The reversal of 34533545013 is 31054533543.

It is not a de Polignac number, because 34533545013 - 220 = 34532496437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34533546013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4713393 + ... + 4720713.

It is an arithmetic number, because the mean of its divisors is an integer number (616805280).

Almost surely, 234533545013 is an apocalyptic number.

34533545013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34533545013 is a deficient number, since it is larger than the sum of its proper divisors (24679761867).

34533545013 is a wasteful number, since it uses less digits than its factorization.

34533545013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7451 (or 7448 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 34533545013 in words is "thirty-four billion, five hundred thirty-three million, five hundred forty-five thousand, thirteen".

Divisors: 1 3 9 11 29 31 33 53 87 93 99 159 261 279 319 341 477 583 899 957 1023 1537 1643 1749 2697 2871 3069 4611 4929 5247 7321 8091 9889 13833 14787 16907 18073 21963 29667 47647 50721 54219 65889 80531 89001 142941 152163 162657 212309 226951 241593 388013 428823 524117 636927 680853 724779 1164039 1572351 1910781 2042559 2335399 2496461 3492117 4268143 4717053 6581579 7006197 7489383 11252377 12028403 12804429 19744737 21018591 22468149 33757131 36085209 38413287 59234211 72397369 101271393 108255627 123776147 132312433 217192107 348823687 371328441 396937299 651576321 1046471061 1113985323 1190811897 3139413183 3837060557 11511181671 34533545013