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2132192412 = 2232747180023
BaseRepresentation
bin111111100010110…
…1010110010011100
312111121002121010100
41333011222302130
513331320124122
6551324141100
7103560223260
oct17705526234
95447077110
102132192412
119a4626799
124b6097790
1327c97ca1c
1416326a0a0
15c72c5aac
hex7f16ac9c

2132192412 has 72 divisors (see below), whose sum is σ = 6290758656. Its totient is φ = 596232864.

The previous prime is 2132192399. The next prime is 2132192429. The reversal of 2132192412 is 2142912312.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 78168 + ... + 101855.

It is an arithmetic number, because the mean of its divisors is an integer number (87371648).

Almost surely, 22132192412 is an apocalyptic number.

It is an amenable number.

2132192412 is an abundant number, since it is smaller than the sum of its proper divisors (4158566244).

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

2132192412 is a wasteful number, since it uses less digits than its factorization.

2132192412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180087 (or 180082 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2132192412 is about 46175.6690476705. The cubic root of 2132192412 is about 1287.0896495021.

The spelling of 2132192412 in words is "two billion, one hundred thirty-two million, one hundred ninety-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2961 3948 5922 11844 180023 360046 540069 720092 1080138 1260161 1620207 2160276 2520322 3240414 3780483 5040644 6480828 7560966 8461081 11341449 15121932 16922162 22682898 25383243 33844324 45365796 50766486 59227567 76149729 101532972 118455134 152299458 177682701 236910268 304598916 355365402 533048103 710730804 1066096206 2132192412