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27023725938 = 231122313711813
BaseRepresentation
bin11001001010101111…
…010101010101110010
32120202022220111220110
4121022233111111302
5420321033212223
620225312122150
71644446610666
oct311257252562
976668814813
1027023725938
1110508209300
1252a2236356
132718899ba1
14144505a8a6
15a826bed93
hex64abd5572

27023725938 has 96 divisors (see below), whose sum is σ = 62448236928. Its totient is φ = 7775130880.

The previous prime is 27023725933. The next prime is 27023725991. The reversal of 27023725938 is 83952732072.

It is not an unprimeable number, because it can be changed into a prime (27023725933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2281720 + ... + 2293532.

It is an arithmetic number, because the mean of its divisors is an integer number (650502468).

Almost surely, 227023725938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27023725938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31224118464).

27023725938 is an abundant number, since it is smaller than the sum of its proper divisors (35424510990).

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

27023725938 is a wasteful number, since it uses less digits than its factorization.

27023725938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12000 (or 11989 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 27023725938 in words is "twenty-seven billion, twenty-three million, seven hundred twenty-five thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 137 138 242 253 274 363 411 506 726 759 822 1507 1518 2783 3014 3151 4521 5566 6302 8349 9042 9453 11813 16577 16698 18906 23626 33154 34661 35439 49731 69322 70878 99462 103983 129943 207966 259886 271699 381271 389829 543398 762542 779658 815097 1143813 1429373 1618381 1630194 2287626 2858746 2988689 3236762 4288119 4855143 5977378 8576238 8966067 9710286 17802191 17932134 32875579 35604382 37222763 53406573 65751158 74445526 98626737 106813146 111668289 195824101 197253474 223336578 391648202 409450393 587472303 818900786 1174944606 1228351179 2456702358 4503954323 9007908646 13511862969 27023725938