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197085145416 = 2331731139112103
BaseRepresentation
bin1011011110001100110…
…0001010100101001000
3200211201012110201201020
42313203030022211020
511212112244123131
6230312322352440
720144645044455
oct2674314124510
9624635421636
10197085145416
1176646476875
12322434bb720
131577b47a053
149778d2082c
1551d75ed996
hex2de330a948

197085145416 has 128 divisors (see below), whose sum is σ = 542403993600. Its totient is φ = 59405091840.

The previous prime is 197085145409. The next prime is 197085145417. The reversal of 197085145416 is 614541580791.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (197085145417) 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, 1702021 + ... + 1814123.

It is an arithmetic number, because the mean of its divisors is an integer number (4237531200).

Almost surely, 2197085145416 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 197085145416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271201996800).

197085145416 is an abundant number, since it is smaller than the sum of its proper divisors (345318848184).

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

197085145416 is a wasteful number, since it uses less digits than its factorization.

197085145416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112299 (or 112295 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 197085145416 in words is "one hundred ninety-seven billion, eighty-five million, one hundred forty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 139 186 204 248 278 372 408 417 527 556 744 834 1054 1112 1581 1668 2108 2363 3162 3336 4216 4309 4726 6324 7089 8618 9452 12648 12927 14178 17236 18904 25854 28356 34472 51708 56712 73253 103416 112103 146506 219759 224206 293012 336309 439518 448412 586024 672618 879036 896824 1345236 1758072 1905751 2690472 3475193 3811502 5717253 6950386 7623004 10425579 11434506 13900772 15246008 15582317 20851158 22869012 27801544 31164634 41702316 45738024 46746951 59078281 62329268 83404632 93493902 118156562 124658536 177234843 186987804 236313124 264899389 354469686 373975608 472626248 483051827 529798778 708939372 794698167 966103654 1059597556 1417878744 1449155481 1589396334 1932207308 2119195112 2898310962 3178792668 3864414616 5796621924 6357585336 8211881059 11593243848 16423762118 24635643177 32847524236 49271286354 65695048472 98542572708 197085145416