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997818260112 = 243728515611
BaseRepresentation
bin11101000010100101001…
…10100101101010010000
310112101112200002120000000
432201102212211222100
5112322012433310422
62042220312130000
7132042603161232
oct16412246455220
93471480076000
10997818260112
11355199438483
12141473396900
137312b28b6ab
143641a7a0252
151ae4ee54cac
hexe8529a5a90

997818260112 has 80 divisors (see below), whose sum is σ = 2899467428160. Its totient is φ = 332606075040.

The previous prime is 997818260077. The next prime is 997818260113. The reversal of 997818260112 is 211062818799.

It is a happy number.

997818260112 is a `hidden beast` number, since 9 + 9 + 7 + 8 + 18 + 2 + 601 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (997818260113) 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 15 ways as a sum of consecutive naturals, for example, 14222814 + ... + 14292797.

It is an arithmetic number, because the mean of its divisors is an integer number (36243342852).

Almost surely, 2997818260112 is an apocalyptic number.

It is an amenable number.

997818260112 is an abundant number, since it is smaller than the sum of its proper divisors (1901649168048).

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

997818260112 is an equidigital number, since it uses as much as digits as its factorization.

997818260112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28515640 (or 28515616 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 997818260112 in words is "nine hundred ninety-seven billion, eight hundred eighteen million, two hundred sixty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 8748 11664 17496 34992 28515611 57031222 85546833 114062444 171093666 228124888 256640499 342187332 456249776 513280998 684374664 769921497 1026561996 1368749328 1539842994 2053123992 2309764491 3079685988 4106247984 4619528982 6159371976 6929293473 9239057964 12318743952 13858586946 18478115928 20787880419 27717173892 36956231856 41575760838 55434347784 62363641257 83151521676 110868695568 124727282514 166303043352 249454565028 332606086704 498909130056 997818260112