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20319653080 = 2353123311597
BaseRepresentation
bin10010111011001001…
…010100110011011000
31221110010000022211201
4102323021110303120
5313103312344310
613200144403544
71316353126036
oct227311246330
957403008751
1020319653080
118687a07121
123b310165b4
131bba996c7c
14daa933556
157ddd5ce3a
hex4bb254cd8

20319653080 has 96 divisors (see below), whose sum is σ = 47414002320. Its totient is φ = 7836998400.

The previous prime is 20319653069. The next prime is 20319653083. The reversal of 20319653080 is 8035691302.

It is a super-3 number, since 3×203196530803 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20319653083) 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 23 ways as a sum of consecutive naturals, for example, 12722842 + ... + 12724438.

Almost surely, 220319653080 is an apocalyptic number.

20319653080 is a gapful number since it is divisible by the number (20) 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 20319653080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23707001160).

20319653080 is an abundant number, since it is smaller than the sum of its proper divisors (27094349240).

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

20319653080 is a wasteful number, since it uses less digits than its factorization.

20319653080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 20319653080 in words is "twenty billion, three hundred nineteen million, six hundred fifty-three thousand, eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 331 620 662 961 1240 1324 1597 1655 1922 2648 3194 3310 3844 4805 6388 6620 7688 7985 9610 10261 12776 13240 15970 19220 20522 31940 38440 41044 49507 51305 63880 82088 99014 102610 198028 205220 247535 318091 396056 410440 495070 528607 636182 990140 1057214 1272364 1534717 1590455 1980280 2114428 2544728 2643035 3069434 3180910 4228856 5286070 6138868 6361820 7673585 10572140 12277736 12723640 15347170 16386817 21144280 30694340 32773634 61388680 65547268 81934085 131094536 163868170 327736340 507991327 655472680 1015982654 2031965308 2539956635 4063930616 5079913270 10159826540 20319653080