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17906960561981 = 1729149673362221
BaseRepresentation
bin1000001001001010010100…
…00001011111011100111101
32100101212222212111111102212
410010211022001133130331
54321341423400440411
6102030202155030205
73525510114236621
oct404451201373475
970355885444385
1017906960561981
115784332449417
1220125a4a3b365
139cb80831807a
1445c9b6d5d181
15210c03c9768b
hex10494a05f73d

17906960561981 has 32 divisors (see below), whose sum is σ = 19775147868000. Its totient is φ = 16139178639360.

The previous prime is 17906960561911. The next prime is 17906960561983. The reversal of 17906960561981 is 18916506960971.

It can be written as a sum of positive squares in 16 ways, for example, as 8806234300900 + 9100726261081 = 2967530^2 + 3016741^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-17906960561981 is a prime.

It is a super-2 number, since 2×179069605619812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17906960561983) 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, 49255451 + ... + 49617671.

It is an arithmetic number, because the mean of its divisors is an integer number (617973370875).

Almost surely, 217906960561981 is an apocalyptic number.

It is an amenable number.

17906960561981 is a deficient number, since it is larger than the sum of its proper divisors (1868187306019).

17906960561981 is a wasteful number, since it uses less digits than its factorization.

17906960561981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363089.

The product of its (nonzero) digits is 44089920, while the sum is 68.

The spelling of 17906960561981 in words is "seventeen trillion, nine hundred six billion, nine hundred sixty million, five hundred sixty-one thousand, nine hundred eighty-one".

Divisors: 1 17 29 149 493 673 2533 4321 11441 19517 73457 100277 331789 362221 1704709 2908033 6157757 10504409 49436561 53970929 178574953 243774733 917505793 1565156941 4144170461 7069467257 26607667997 36322435217 120180943369 617481398689 1053350621293 17906960561981