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17034024127420 = 22517149337997751
BaseRepresentation
bin1111011111100000101011…
…1101010000101110111100
32020022102210102120222122001
43313320022331100232330
54213041140134034140
6100121153405432044
73405444666046336
oct367701275205674
966272712528561
1017034024127420
1154780a85a8933
121ab138426b624
139673bc767611
1442c646004456
151e81626a9e9a
hexf7e0af50bbc

17034024127420 has 96 divisors (see below), whose sum is σ = 38243035958400. Its totient is φ = 6350862336000.

The previous prime is 17034024127409. The next prime is 17034024127429. The reversal of 17034024127420 is 2472142043071.

It is a self number, because there is not a number n which added to its sum of digits gives 17034024127420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17034024127429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16573545 + ... + 17571295.

It is an arithmetic number, because the mean of its divisors is an integer number (398364957900).

Almost surely, 217034024127420 is an apocalyptic number.

17034024127420 is a gapful number since it is divisible by the number (10) 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 17034024127420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19121517979200).

17034024127420 is an abundant number, since it is smaller than the sum of its proper divisors (21209011830980).

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

17034024127420 is a wasteful number, since it uses less digits than its factorization.

17034024127420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998263 (or 998261 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The spelling of 17034024127420 in words is "seventeen trillion, thirty-four billion, twenty-four million, one hundred twenty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 149 170 298 337 340 596 674 745 1348 1490 1685 2533 2980 3370 5066 5729 6740 10132 11458 12665 22916 25330 28645 50213 50660 57290 100426 114580 200852 251065 502130 853621 997751 1004260 1707242 1995502 3414484 3991004 4268105 4988755 8536210 9977510 16961767 17072420 19955020 33923534 67847068 84808835 148664899 169617670 297329798 336242087 339235340 594659596 672484174 743324495 1344968348 1486648990 1681210435 2527303283 2973297980 3362420870 5054606566 5716115479 6724841740 10109213132 11432230958 12636516415 22864461916 25273032830 28580577395 50100070963 50546065660 57161154790 100200141926 114322309580 200400283852 250500354815 501000709630 851701206371 1002001419260 1703402412742 3406804825484 4258506031855 8517012063710 17034024127420