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34453543005 = 3257978831277
BaseRepresentation
bin100000000101100101…
…110101100001011101
310021221010102022212100
4200011211311201131
51031030101334010
623454442555313
72326535166150
oct400545654135
9107833368770
1034453543005
1113680143892
126816508b39
133330c5404b
14194baddc97
15d69adc2c0
hex80597585d

34453543005 has 96 divisors (see below), whose sum is σ = 69086594304. Its totient is φ = 15557971968.

The previous prime is 34453542899. The next prime is 34453543027. The reversal of 34453543005 is 50034535443.

34453543005 is a `hidden beast` number, since 344 + 5 + 3 + 5 + 4 + 300 + 5 = 666.

It is not a de Polignac number, because 34453543005 - 214 = 34453526621 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26979427 + ... + 26980703.

It is an arithmetic number, because the mean of its divisors is an integer number (719652024).

Almost surely, 234453543005 is an apocalyptic number.

34453543005 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34453543005 is an abundant number, since it is smaller than the sum of its proper divisors (34633051299).

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

34453543005 is a wasteful number, since it uses less digits than its factorization.

34453543005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 34453543005 in words is "thirty-four billion, four hundred fifty-three million, five hundred forty-three thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 63 97 105 291 315 485 679 873 883 1277 1455 2037 2649 3395 3831 4365 4415 6111 6181 6385 7947 8939 10185 11493 13245 18543 19155 26817 30555 30905 39735 44695 55629 57465 80451 85651 92715 123869 134085 256953 278145 371607 402255 428255 599557 619345 770859 867083 1114821 1127591 1284765 1798671 1858035 2601249 2997785 3382773 3854295 4335415 5396013 5574105 5637955 7803747 7893137 8993355 10148319 13006245 16913865 23679411 26980065 39018735 39465685 50741595 71038233 109376327 118397055 328128981 355191165 546881635 765634289 984386943 1640644905 2296902867 3828171445 4921934715 6890708601 11484514335 34453543005