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427138181928 = 2336471558307
BaseRepresentation
bin1100011011100110110…
…10110110101100101000
31111211111222211212000000
412031303122312230220
523444234333310203
6524120301343000
742600611432643
oct6156332665450
91454458755000
10427138181928
1115516a406127
126a947867a60
1331381b40863
14169604d4a5a
15b19e1764a3
hex63736b6b28

427138181928 has 112 divisors (see below), whose sum is σ = 1226326063680. Its totient is φ = 139349955744.

The previous prime is 427138181801. The next prime is 427138181929. The reversal of 427138181928 is 829181831724.

427138181928 is a `hidden beast` number, since 4 + 2 + 71 + 381 + 8 + 192 + 8 = 666.

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 (427138181929) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 505050 + ... + 1053257.

Almost surely, 2427138181928 is an apocalyptic number.

It is an amenable number.

427138181928 is an abundant number, since it is smaller than the sum of its proper divisors (799187881752).

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

427138181928 is a wasteful number, since it uses less digits than its factorization.

427138181928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558378 (or 1558359 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The spelling of 427138181928 in words is "four hundred twenty-seven billion, one hundred thirty-eight million, one hundred eighty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 243 282 324 376 423 486 564 648 729 846 972 1128 1269 1458 1692 1944 2538 2916 3384 3807 5076 5832 7614 10152 11421 15228 22842 30456 34263 45684 68526 91368 137052 274104 1558307 3116614 4674921 6233228 9349842 12466456 14024763 18699684 28049526 37399368 42074289 56099052 73240429 84148578 112198104 126222867 146480858 168297156 219721287 252445734 292961716 336594312 378668601 439442574 504891468 585923432 659163861 757337202 878885148 1009782936 1136005803 1318327722 1514674404 1757770296 1977491583 2272011606 2636655444 3029348808 3954983166 4544023212 5273310888 5932474749 7909966332 9088046424 11864949498 15819932664 17797424247 23729898996 35594848494 47459797992 53392272741 71189696988 106784545482 142379393976 213569090964 427138181928