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34213125555 = 3257672297079
BaseRepresentation
bin11111110111010000…
…101101110110110011
310021022101000212010100
4133313100231312303
51030032030004210
623414534003443
72320555524510
oct376720556663
9107271025110
1034213125555
1113567465684
126769aa6583
1332c31b81bb
141927bda307
15d5394c5c0
hex7f742ddb3

34213125555 has 96 divisors (see below), whose sum is σ = 69096268800. Its totient is φ = 15337403136.

The previous prime is 34213125539. The next prime is 34213125587. The reversal of 34213125555 is 55552131243.

34213125555 is a `hidden beast` number, since 34 + 21 + 31 + 25 + 555 = 666.

It is not a de Polignac number, because 34213125555 - 24 = 34213125539 is a prime.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4829506 + ... + 4836584.

It is an arithmetic number, because the mean of its divisors is an integer number (719752800).

Almost surely, 234213125555 is an apocalyptic number.

34213125555 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34213125555 is an abundant number, since it is smaller than the sum of its proper divisors (34883143245).

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

34213125555 is a wasteful number, since it uses less digits than its factorization.

34213125555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7393 (or 7390 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

Adding to 34213125555 its reverse (55552131243), we get a palindrome (89765256798).

The spelling of 34213125555 in words is "thirty-four billion, two hundred thirteen million, one hundred twenty-five thousand, five hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 67 105 201 229 315 335 469 603 687 1005 1145 1407 1603 2061 2345 3015 3435 4221 4809 7035 7079 8015 10305 14427 15343 21105 21237 24045 35395 46029 49553 63711 72135 76715 106185 107401 138087 148659 230145 247765 318555 322203 445977 474293 537005 690435 743295 966609 1422879 1611015 1621091 2229885 2371465 3320051 4268637 4833045 4863273 7114395 8105455 9960153 11347637 14589819 16600255 21343185 24316365 29880459 34042911 49800765 56738185 72949095 102128733 108613097 149402295 170214555 325839291 510643665 543065485 760291679 977517873 1629196455 2280875037 3801458395 4887589365 6842625111 11404375185 34213125555