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34645648980 = 22353197119183
BaseRepresentation
bin100000010001000010…
…101010011001010100
310022102111220022201110
4200101002222121110
51031423241231410
623525504255020
72334360104655
oct402102523124
9108374808643
1034645648980
1113769624958
12686a911470
1333619a6217
14196942952c
15d7b8d7720
hex8110aa654

34645648980 has 96 divisors (see below), whose sum is σ = 100245454848. Its totient is φ = 8931139200.

The previous prime is 34645648957. The next prime is 34645649033. The reversal of 34645648980 is 8984654643.

It is a self number, because there is not a number n which added to its sum of digits gives 34645648980.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1796469 + ... + 1815651.

It is an arithmetic number, because the mean of its divisors is an integer number (1044223488).

Almost surely, 234645648980 is an apocalyptic number.

34645648980 is a gapful number since it is divisible by the number (30) 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 34645648980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50122727424).

34645648980 is an abundant number, since it is smaller than the sum of its proper divisors (65599805868).

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

34645648980 is a wasteful number, since it uses less digits than its factorization.

34645648980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20197 (or 20195 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 34645648980 in words is "thirty-four billion, six hundred forty-five million, six hundred forty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 971 1860 1942 2913 3884 4855 5826 9710 11652 14565 19183 19420 29130 30101 38366 57549 58260 60202 76732 90303 95915 115098 120404 150505 180606 191830 230196 287745 301010 361212 383660 451515 575490 594673 602020 903030 1150980 1189346 1784019 1806060 2378692 2973365 3568038 5946730 7136076 8920095 11893460 17840190 18626693 35680380 37253386 55880079 74506772 93133465 111760158 186266930 223520316 279400395 372533860 558800790 577427483 1117601580 1154854966 1732282449 2309709932 2887137415 3464564898 5774274830 6929129796 8661412245 11548549660 17322824490 34645648980