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12175380516 = 223131312332557
BaseRepresentation
bin10110101011011010…
…11001000000100100
31011102112010102012010
423111231121000210
5144413344134031
65332052354220
7610501012125
oct132555310044
934375112163
1012175380516
115188759652
122439615970
1311c05abb90
1483703204c
154b3d65246
hex2d5b59024

12175380516 has 96 divisors (see below), whose sum is σ = 30972509568. Its totient is φ = 3700270080.

The previous prime is 12175380457. The next prime is 12175380559. The reversal of 12175380516 is 61508357121.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 4760310 + ... + 4762866.

It is an arithmetic number, because the mean of its divisors is an integer number (322630308).

Almost surely, 212175380516 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 12175380516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15486254784).

12175380516 is an abundant number, since it is smaller than the sum of its proper divisors (18797129052).

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

12175380516 is a wasteful number, since it uses less digits than its factorization.

12175380516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The spelling of 12175380516 in words is "twelve billion, one hundred seventy-five million, three hundred eighty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 131 156 233 262 393 466 524 699 786 932 1398 1572 1703 2557 2796 3029 3406 5109 5114 6058 6812 7671 9087 10218 10228 12116 15342 18174 20436 30523 30684 33241 36348 61046 66482 91569 99723 122092 132964 183138 199446 334967 366276 396799 398892 595781 669934 793598 1004901 1190397 1191562 1339868 1587196 1787343 2009802 2380794 2383124 3574686 4019604 4354571 4761588 7149372 7745153 8709142 13063713 15490306 17418284 23235459 26127426 30980612 46470918 52254852 78047311 92941836 156094622 234141933 312189244 468283866 936567732 1014615043 2029230086 3043845129 4058460172 6087690258 12175380516