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345425645016 = 233794120981
BaseRepresentation
bin1010000011011001111…
…10010000110111011000
31020000121022021220000000
411001230332100313120
521124412431120031
6422404130213000
733645653352234
oct5015476206730
91200538256000
10345425645016
11123548853791
1256b42424160
132675bc8ccba
1412a0c12d5c4
158eba6793e6
hex506cf90dd8

345425645016 has 128 divisors (see below), whose sum is σ = 972440164800. Its totient is φ = 115014038400.

The previous prime is 345425644987. The next prime is 345425645021. The reversal of 345425645016 is 610546524543.

345425645016 is a `hidden beast` number, since 3 + 4 + 542 + 56 + 4 + 50 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16453246 + ... + 16474226.

Almost surely, 2345425645016 is an apocalyptic number.

345425645016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345425645016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486220082400).

345425645016 is an abundant number, since it is smaller than the sum of its proper divisors (627014519784).

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

345425645016 is an equidigital number, since it uses as much as digits as its factorization.

345425645016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21949 (or 21927 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 345425645016 in words is "three hundred forty-five billion, four hundred twenty-five million, six hundred forty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 941 972 1458 1882 1944 2187 2823 2916 3764 4374 5646 5832 7528 8469 8748 11292 16938 17496 20981 22584 25407 33876 41962 50814 62943 67752 76221 83924 101628 125886 152442 167848 188829 203256 228663 251772 304884 377658 457326 503544 566487 609768 685989 755316 914652 1132974 1371978 1510632 1699461 1829304 2057967 2265948 2743956 3398922 4115934 4531896 5098383 5487912 6797844 8231868 10196766 13595688 15295149 16463736 19743121 20393532 30590298 39486242 40787064 45885447 59229363 61180596 78972484 91770894 118458726 122361192 157944968 177688089 183541788 236917452 355376178 367083576 473834904 533064267 710752356 1066128534 1421504712 1599192801 2132257068 3198385602 4264514136 4797578403 6396771204 9595156806 12793542408 14392735209 19190313612 28785470418 38380627224 43178205627 57570940836 86356411254 115141881672 172712822508 345425645016