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1997609418904 = 2311791571830211
BaseRepresentation
bin11101000100011010110…
…011001100000010011000
321001222011211112202012111
4131010122303030002120
5230212101002401104
64125404502322104
7264215423620621
oct35043263140230
97058154482174
101997609418904
117001aa491930
12283197429334
131164b21c5948
146c9831a2a48
1536e681b7404
hex1d11accc098

1997609418904 has 64 divisors (see below), whose sum is σ = 4164098342400. Its totient is φ = 890799811200.

The previous prime is 1997609418901. The next prime is 1997609418949. The reversal of 1997609418904 is 4098149067991.

It is a super-2 number, since 2×19976094189042 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1997609418904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1997609418901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176359 + ... + 2006569.

It is an arithmetic number, because the mean of its divisors is an integer number (65064036600).

Almost surely, 21997609418904 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 1997609418904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082049171200).

1997609418904 is an abundant number, since it is smaller than the sum of its proper divisors (2166488923496).

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

1997609418904 is a wasteful number, since it uses less digits than its factorization.

1997609418904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830464 (or 1830460 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 67.

The spelling of 1997609418904 in words is "one trillion, nine hundred ninety-seven billion, six hundred nine million, four hundred eighteen thousand, nine hundred four".

Divisors: 1 2 4 8 11 22 44 79 88 157 158 314 316 628 632 869 1256 1727 1738 3454 3476 6908 6952 12403 13816 24806 49612 99224 136433 272866 545732 1091464 1830211 3660422 7320844 14641688 20132321 40264642 80529284 144586669 161058568 287343127 289173338 574686254 578346676 1149372508 1156693352 1590453359 2298745016 3160774397 3180906718 6321548794 6361813436 12643097588 12723626872 22700107033 25286195176 45400214066 90800428132 181600856264 249701177363 499402354726 998804709452 1997609418904