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12719933500 = 2253611034049
BaseRepresentation
bin10111101100010101…
…01100100000111100
31012211110210120110011
423312022230200330
5202022300333000
65502104153004
7630132436141
oct136612544074
935743716404
1012719933500
11543808633a
12256ba68764
131279362c91
148894a43c8
154e6a7e2ba
hex2f62ac83c

12719933500 has 96 divisors (see below), whose sum is σ = 28516924800. Its totient is φ = 4954752000.

The previous prime is 12719933497. The next prime is 12719933509. The reversal of 12719933500 is 533991721.

12719933500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12719933509) 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 31 ways as a sum of consecutive naturals, for example, 3139476 + ... + 3143524.

It is an arithmetic number, because the mean of its divisors is an integer number (297051300).

Almost surely, 212719933500 is an apocalyptic number.

12719933500 is a gapful number since it is divisible by the number (10) 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 12719933500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14258462400).

12719933500 is an abundant number, since it is smaller than the sum of its proper divisors (15796991300).

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

12719933500 is a wasteful number, since it uses less digits than its factorization.

12719933500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 40.

The spelling of 12719933500 in words is "twelve billion, seven hundred nineteen million, nine hundred thirty-three thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 103 122 125 206 244 250 305 412 500 515 610 1030 1220 1525 2060 2575 3050 4049 5150 6100 6283 7625 8098 10300 12566 12875 15250 16196 20245 25132 25750 30500 31415 40490 51500 62830 80980 101225 125660 157075 202450 246989 314150 404900 417047 493978 506125 628300 785375 834094 987956 1012250 1234945 1570750 1668188 2024500 2085235 2469890 3141500 4170470 4939780 6174725 8340940 10426175 12349450 20852350 24698900 25439867 30873625 41704700 50879734 52130875 61747250 101759468 104261750 123494500 127199335 208523500 254398670 508797340 635996675 1271993350 2543986700 3179983375 6359966750 12719933500