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238366974312 = 2334636157829
BaseRepresentation
bin1101110111111111000…
…1110110000101101000
3211210021012111220220000
43131333301312011220
512401133421134222
6301300531303000
723135645564655
oct3357761660550
9753235456800
10238366974312
11920aaa40935
123a24474aa60
1319629c7473c
14b77383cc2c
1563018d69ac
hex377fc76168

238366974312 has 80 divisors (see below), whose sum is σ = 667764744900. Its totient is φ = 79441793280.

The previous prime is 238366974311. The next prime is 238366974317. The reversal of 238366974312 is 213479663832.

238366974312 is a `hidden beast` number, since 238 + 3 + 6 + 6 + 97 + 4 + 312 = 666.

238366974312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 234746064036 + 3620910276 = 484506^2 + 60174^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (238366974311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4093014 + ... + 4150842.

Almost surely, 2238366974312 is an apocalyptic number.

It is an amenable number.

238366974312 is an abundant number, since it is smaller than the sum of its proper divisors (429397770588).

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

238366974312 is a wasteful number, since it uses less digits than its factorization.

238366974312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64208 (or 64195 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 238366974312 in words is "two hundred thirty-eight billion, three hundred sixty-six million, nine hundred seventy-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 6361 12722 19083 25444 38166 50888 57249 57829 76332 114498 115658 152664 171747 173487 228996 231316 343494 346974 457992 462632 515241 520461 686988 693948 1030482 1040922 1373976 1387896 1561383 2060964 2081844 3122766 4121928 4163688 4684149 6245532 9368298 12491064 18736596 37473192 367850269 735700538 1103550807 1471401076 2207101614 2942802152 3310652421 4414203228 6621304842 8828406456 9931957263 13242609684 19863914526 26485219368 29795871789 39727829052 59591743578 79455658104 119183487156 238366974312