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1327106624292 = 223319646738121
BaseRepresentation
bin10011010011111101101…
…110000000101100100100
311200212111100020122022000
4103103331232000230210
5133220403243434132
62453355300405300
7164610640116501
oct23237556005444
94625440218260
101327106624292
11471906101229
121952513a6830
13981b7bca9b7
14483376244a8
15247c3a1c87c
hex134fdb80b24

1327106624292 has 48 divisors (see below), whose sum is σ = 3621733483200. Its totient is φ = 419086301760.

The previous prime is 1327106624287. The next prime is 1327106624321. The reversal of 1327106624292 is 2924266017231.

1327106624292 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 10 + 6 + 624 + 2 + 9 + 2 = 666.

It is a super-2 number, since 2×13271066242922 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323367009 + ... + 323371112.

It is an arithmetic number, because the mean of its divisors is an integer number (75452780900).

Almost surely, 21327106624292 is an apocalyptic number.

1327106624292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1327106624292 is an abundant number, since it is smaller than the sum of its proper divisors (2294626858908).

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

1327106624292 is a wasteful number, since it uses less digits than its factorization.

1327106624292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646738153 (or 646738145 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1327106624292 in words is "one trillion, three hundred twenty-seven billion, one hundred six million, six hundred twenty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 646738121 1293476242 1940214363 2586952484 3880428726 5820643089 7760857452 11641286178 12288024299 17461929267 23282572356 24576048598 34923858534 36864072897 49152097196 69847717068 73728145794 110592218691 147456291588 221184437382 331776656073 442368874764 663553312146 1327106624292