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1969920054 = 233232117517
BaseRepresentation
bin111010101101010…
…1001100000110110
312002021202022022000
41311122221200312
513013244420204
6523250120130
766550021104
oct16532514066
95067668260
101969920054
11920a72103
1246b880046
13255174b8b
141498a8c74
15b7e20039
hex756a9836

1969920054 has 64 divisors (see below), whose sum is σ = 4590190080. Its totient is φ = 625030560.

The previous prime is 1969920047. The next prime is 1969920097. The reversal of 1969920054 is 4500299691.

It is a super-3 number, since 3×19699200543 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1969919991 and 1969920009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258304 + ... + 265820.

It is an arithmetic number, because the mean of its divisors is an integer number (71721720).

Almost surely, 21969920054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1969920054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295095040).

1969920054 is an abundant number, since it is smaller than the sum of its proper divisors (2620270026).

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

1969920054 is a wasteful number, since it uses less digits than its factorization.

1969920054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7762 (or 7756 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1969920054 is about 44383.7814297070. The cubic root of 1969920054 is about 1253.5727236412.

The spelling of 1969920054 in words is "one billion, nine hundred sixty-nine million, nine hundred twenty thousand, fifty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 211 414 422 621 633 1242 1266 1899 3798 4853 5697 7517 9706 11394 14559 15034 22551 29118 43677 45102 67653 87354 131031 135306 172891 202959 262062 345782 405918 518673 1037346 1556019 1586087 3112038 3172174 4668057 4758261 9336114 9516522 14274783 28549566 36480001 42824349 72960002 85648698 109440003 218880006 328320009 656640018 984960027 1969920054