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17032072420 = 225111312932017
BaseRepresentation
bin11111101110011000…
…01100110011100100
31121221222211221000001
433313030030303210
5234340202304140
611454024231044
71142033140546
oct176714146344
947858757001
1017032072420
117250185110
12337400b484
1317b584277c
14b7806b696
1569a40ee9a
hex3f730cce4

17032072420 has 96 divisors (see below), whose sum is σ = 39470530176. Its totient is φ = 6122188800.

The previous prime is 17032072403. The next prime is 17032072427. The reversal of 17032072420 is 2427023071.

It is not an unprimeable number, because it can be changed into a prime (17032072427) by changing a digit.

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, 8443252 + ... + 8445268.

It is an arithmetic number, because the mean of its divisors is an integer number (411151356).

Almost surely, 217032072420 is an apocalyptic number.

17032072420 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 17032072420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19735265088).

17032072420 is an abundant number, since it is smaller than the sum of its proper divisors (22438457756).

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

17032072420 is a wasteful number, since it uses less digits than its factorization.

17032072420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

Adding to 17032072420 its reverse (2427023071), we get a palindrome (19459095491).

The spelling of 17032072420 in words is "seventeen billion, thirty-two million, seventy-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 293 524 586 655 1172 1310 1441 1465 2017 2620 2882 2930 3223 4034 5764 5860 6446 7205 8068 10085 12892 14410 16115 20170 22187 28820 32230 38383 40340 44374 64460 76766 88748 110935 153532 191915 221870 264227 383830 422213 443740 528454 590981 767660 844426 1056908 1181962 1321135 1688852 2111065 2363924 2642270 2906497 2954905 4222130 5284540 5812994 5909810 6500791 8444260 11625988 11819620 13001582 14532485 26003164 29064970 32503955 58129940 65007910 77418511 130015820 154837022 309674044 387092555 774185110 851603621 1548370220 1703207242 3406414484 4258018105 8516036210 17032072420