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34948059135 = 35112711032633
BaseRepresentation
bin100000100011000100…
…010000111111111111
310100012120221100110120
4200203010100333333
51033033200343020
624015510110023
72345021413143
oct404304207777
9110176840416
1034948059135
11139042a5100
12693404b313
1333ac539042
141997669223
15d98220740
hex823110fff

34948059135 has 96 divisors (see below), whose sum is σ = 62957067264. Its totient is φ = 16537382400.

The previous prime is 34948059131. The next prime is 34948059137. The reversal of 34948059135 is 53195084943.

34948059135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1869442-1.

It is not a de Polignac number, because 34948059135 - 22 = 34948059131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34948059131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13271779 + ... + 13274411.

It is an arithmetic number, because the mean of its divisors is an integer number (655802784).

Almost surely, 234948059135 is an apocalyptic number.

34948059135 is a deficient number, since it is larger than the sum of its proper divisors (28009008129).

34948059135 is a wasteful number, since it uses less digits than its factorization.

34948059135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 34948059135 in words is "thirty-four billion, nine hundred forty-eight million, fifty-nine thousand, one hundred thirty-five".

Divisors: 1 3 5 11 15 33 55 71 103 121 165 213 309 355 363 515 605 781 1065 1133 1545 1815 2343 2633 3399 3905 5665 7313 7899 8591 11715 12463 13165 16995 21939 25773 28963 36565 37389 39495 42955 62315 80443 86889 109695 128865 144815 186943 186945 241329 271199 318593 402215 434445 560829 813597 884873 934715 955779 1206645 1355995 1592965 2056373 2654619 2804145 2983189 4067985 4424365 4778895 6169119 8949567 10281865 13273095 14915945 19255129 22620103 30845595 32815079 44747835 57765387 67860309 96275645 98445237 113100515 164075395 211806419 288826935 339301545 492226185 635419257 1059032095 2329870609 3177096285 6989611827 11649353045 34948059135