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34321730191936 = 26111713339214993
BaseRepresentation
bin1111100110111001001101…
…00010010100001001000000
311111112010101101111121112221
413303130212202110021000
513444311400412120221
6200555103555500424
710141443320042155
oct763344642241100
9144463341447487
1034321730191936
11aa32844a22830
123a23945bb7714
13161c6aa02bc05
1486927581822c
153e7bc1028541
hex1f3726894240

34321730191936 has 112 divisors (see below), whose sum is σ = 78675523542720. Its totient is φ = 14681924075520.

The previous prime is 34321730191927. The next prime is 34321730191951. The reversal of 34321730191936 is 63919103712343.

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 15 ways as a sum of consecutive naturals, for example, 159533656 + ... + 159748648.

Almost surely, 234321730191936 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 34321730191936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39337761771360).

34321730191936 is an abundant number, since it is smaller than the sum of its proper divisors (44353793350784).

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

34321730191936 is a wasteful number, since it uses less digits than its factorization.

34321730191936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228372 (or 228362 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 52.

The spelling of 34321730191936 in words is "thirty-four trillion, three hundred twenty-one billion, seven hundred thirty million, one hundred ninety-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2992 5984 11968 13339 26678 53356 106712 146729 213424 214993 226763 293458 426848 429986 453526 586916 853696 859972 907052 1173832 1719944 1814104 2347664 2364923 2494393 3439888 3628208 3654881 4695328 4729846 4988786 6879776 7256416 7309762 9390656 9459692 9977572 13759552 14512832 14619524 18919384 19955144 29239048 37838768 39910288 40203691 58478096 75677536 79820576 80407382 116956192 151355072 159641152 160814764 233912384 321629528 643259056 1286518112 2573036224 2867791627 5735583254 11471166508 22942333016 31545707897 45884666032 48752457659 63091415794 91769332064 97504915318 126182831588 183538664128 195009830636 252365663176 390019661272 504731326352 536277034249 780039322544 1009462652704 1072554068498 1560078645088 2018925305408 2145108136996 3120157290176 4290216273992 8580432547984 17160865095968 34321730191936