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17020420220640 = 2535191866274147
BaseRepresentation
bin1111011110101110000000…
…0110011110011011100000
32020021010200100102220210210
43313223200012132123200
54212330310034030030
6100111023442454120
73404453610541464
oct367534006363340
966233610386723
1017020420220640
115472357547371
121aaa808364340
1396603222ca35
1442bb153964a4
151e7b18217bb0
hexf7ae019e6e0

17020420220640 has 96 divisors (see below), whose sum is σ = 56436130235520. Its totient is φ = 4299895632384.

The previous prime is 17020420220591. The next prime is 17020420220641. The reversal of 17020420220640 is 4602202402071.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 17020420220598 and 17020420220607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17020420220641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 933127954 + ... + 933146193.

It is an arithmetic number, because the mean of its divisors is an integer number (587876356620).

Almost surely, 217020420220640 is an apocalyptic number.

17020420220640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17020420220640 is an abundant number, since it is smaller than the sum of its proper divisors (39415710014880).

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

17020420220640 is a wasteful number, since it uses less digits than its factorization.

17020420220640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866274184 (or 1866274176 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 17020420220640 in words is "seventeen trillion, twenty billion, four hundred twenty million, two hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 1866274147 3732548294 5598822441 7465096588 9331370735 11197644882 14930193176 18662741470 22395289764 27994112205 29860386352 35459208793 37325482940 44790579528 55988224410 59720772704 70918417586 74650965880 89581159056 106377626379 111976448820 141836835172 149301931760 177296043965 179162318112 212755252758 223952897640 283673670344 298603863520 354592087930 425510505516 447905795280 531888131895 567347340688 709184175860 851021011032 895811590560 1063776263790 1134694681376 1418368351720 1702042022064 2127552527580 2836736703440 3404084044128 4255105055160 5673473406880 8510210110320 17020420220640