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126146221146 = 232116151103577
BaseRepresentation
bin111010101111011100…
…1101001010001011010
3110001121100100222212200
41311132321221101122
54031321413034041
6133541211151030
712054010121331
oct1653671512132
9401540328780
10126146221146
1149553287030
1220546145476
13bb8465b00a
146169738d18
1534348731b6
hex1d5ee6945a

126146221146 has 48 divisors (see below), whose sum is σ = 298215148608. Its totient is φ = 38219544000.

The previous prime is 126146221139. The next prime is 126146221163. The reversal of 126146221146 is 641122641621.

126146221146 is a `hidden beast` number, since 1 + 2 + 6 + 14 + 622 + 1 + 14 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 126146221146.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1166110 + ... + 1269686.

It is an arithmetic number, because the mean of its divisors is an integer number (6212815596).

Almost surely, 2126146221146 is an apocalyptic number.

126146221146 is an abundant number, since it is smaller than the sum of its proper divisors (172068927462).

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

126146221146 is a wasteful number, since it uses less digits than its factorization.

126146221146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109747 (or 109744 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

Adding to 126146221146 its reverse (641122641621), we get a palindrome (767268862767).

The spelling of 126146221146 in words is "one hundred twenty-six billion, one hundred forty-six million, two hundred twenty-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 6151 12302 18453 36906 55359 67661 103577 110718 135322 202983 207154 310731 405966 608949 621462 932193 1139347 1217898 1864386 2278694 3418041 6836082 10254123 20508246 637102127 1274204254 1911306381 3822612762 5733919143 7008123397 11467838286 14016246794 21024370191 42048740382 63073110573 126146221146