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2162932428544 = 28311507718077
BaseRepresentation
bin11111011110011000110…
…100011010111100000000
321122202220110221210200121
4133132120310122330000
5240414141200203134
64333345404230024
7312160324203436
oct37363064327400
97582813853617
102162932428544
11764326a71a08
122ab23583b314
13128c6b1b71c4
1476987a1ad56
153b3e2112ab4
hex1f798d1af00

2162932428544 has 72 divisors (see below), whose sum is σ = 4457229533568. Its totient is φ = 1046452899840.

The previous prime is 2162932428521. The next prime is 2162932428571. The reversal of 2162932428544 is 4458242392612.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2162932428491 and 2162932428500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119642034 + ... + 119660110.

It is an arithmetic number, because the mean of its divisors is an integer number (61905965744).

Almost surely, 22162932428544 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 2162932428544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228614766784).

2162932428544 is an abundant number, since it is smaller than the sum of its proper divisors (2294297105024).

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

2162932428544 is a wasteful number, since it uses less digits than its factorization.

2162932428544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33201 (or 33187 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 52.

The spelling of 2162932428544 in words is "two trillion, one hundred sixty-two billion, nine hundred thirty-two million, four hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 992 1984 3968 7936 15077 18077 30154 36154 60308 72308 120616 144616 241232 289232 467387 482464 560387 578464 934774 964928 1120774 1156928 1869548 1929856 2241548 2313856 3739096 3859712 4483096 4627712 7478192 8966192 14956384 17932384 29912768 35864768 59825536 71729536 119651072 143459072 272546929 545093858 1090187716 2180375432 4360750864 8448954799 8721501728 16897909598 17443003456 33795819196 34886006912 67591638392 69772013824 135183276784 270366553568 540733107136 1081466214272 2162932428544