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34164500454 = 23271949139121
BaseRepresentation
bin11111110100010111…
…001110011111100110
310021011222112110000200
4133310113032133212
51024432103003304
623410035451330
72316425314410
oct376427163746
9107158473020
1034164500454
1113541a73947
126755756b46
1332b60c1856
14192157d9b0
15d4e544e39
hex7f45ce7e6

34164500454 has 48 divisors (see below), whose sum is σ = 84641824800. Its totient is φ = 9756207360.

The previous prime is 34164500423. The next prime is 34164500471. The reversal of 34164500454 is 45400546143.

34164500454 is a `hidden beast` number, since 3 + 4 + 1 + 645 + 0 + 0 + 4 + 5 + 4 = 666.

It is a super-2 number, since 2×341645004542 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 176014 + ... + 315134.

It is an arithmetic number, because the mean of its divisors is an integer number (1763371350).

Almost surely, 234164500454 is an apocalyptic number.

34164500454 is an abundant number, since it is smaller than the sum of its proper divisors (50477324346).

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

34164500454 is a wasteful number, since it uses less digits than its factorization.

34164500454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141085 (or 141082 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 34164500454 in words is "thirty-four billion, one hundred sixty-four million, five hundred thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1949 3898 5847 11694 13643 17541 27286 35082 40929 81858 122787 139121 245574 278242 417363 834726 973847 1252089 1947694 2504178 2921541 5843082 8764623 17529246 271146829 542293658 813440487 1626880974 1898027803 2440321461 3796055606 4880642922 5694083409 11388166818 17082250227 34164500454