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3425069560 = 2351121741627
BaseRepresentation
bin1100110000100110…
…0110100111111000
322211200212120011011
43030021212213320
524003304211220
61323511043304
7150606416353
oct31411464770
98750776134
103425069560
1114a83a9500
127b7070534
134277928a3
14246c5529a
15150a5a65a
hexcc2669f8

3425069560 has 96 divisors (see below), whose sum is σ = 8969168880. Its totient is φ = 1172188160.

The previous prime is 3425069519. The next prime is 3425069567. The reversal of 3425069560 is 659605243.

3425069560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34250695602 = 23462202981677187200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3425069567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61467 + ... + 103093.

Almost surely, 23425069560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3425069560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484584440).

3425069560 is an abundant number, since it is smaller than the sum of its proper divisors (5544099320).

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

3425069560 is a wasteful number, since it uses less digits than its factorization.

3425069560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41677 (or 41662 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The square root of 3425069560 is about 58524.0938417674. The cubic root of 3425069560 is about 1507.3813303211.

The spelling of 3425069560 in words is "three billion, four hundred twenty-five million, sixty-nine thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 121 136 170 187 220 242 340 374 440 484 605 680 748 935 968 1210 1496 1870 2057 2420 3740 4114 4840 7480 8228 10285 16456 20570 41140 41627 82280 83254 166508 208135 333016 416270 457897 707659 832540 915794 1415318 1665080 1831588 2289485 2830636 3538295 3663176 4578970 5036867 5661272 7076590 7784249 9157940 10073734 14153180 15568498 18315880 20147468 25184335 28306360 31136996 38921245 40294936 50368670 62273992 77842490 85626739 100737340 155684980 171253478 201474680 311369960 342506956 428133695 685013912 856267390 1712534780 3425069560