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1668501683331 = 371726631755041
BaseRepresentation
bin11000010001111010011…
…100110011110010000011
312220111200202021112202220
4120101322130303302003
5204314042412331311
63314255445342123
7231355012206360
oct30217234636203
95814622245686
101668501683331
1159367578001a
1222b449a07943
13c1453b1a682
145aa8231b467
152d6053ce206
hex1847a733c83

1668501683331 has 32 divisors (see below), whose sum is σ = 2693048767488. Its totient is φ = 897007964160.

The previous prime is 1668501683243. The next prime is 1668501683351. The reversal of 1668501683331 is 1333861058661.

It is a happy number.

It is not a de Polignac number, because 1668501683331 - 27 = 1668501683203 is a prime.

It is a super-3 number, since 3×16685016833313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (1668501683351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73171 + ... + 1828211.

It is an arithmetic number, because the mean of its divisors is an integer number (84157773984).

Almost surely, 21668501683331 is an apocalyptic number.

1668501683331 is a deficient number, since it is larger than the sum of its proper divisors (1024547084157).

1668501683331 is a wasteful number, since it uses less digits than its factorization.

1668501683331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757731.

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 1668501683331 in words is "one trillion, six hundred sixty-eight billion, five hundred one million, six hundred eighty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 17 21 51 119 357 2663 7989 18641 45271 55923 135813 316897 950691 1755041 5265123 12285287 29835697 36855861 89507091 208849879 626549637 4673674183 14021022549 32715719281 79452461111 98147157843 238357383333 556167227777 1668501683331