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42725159388 = 223231734671123
BaseRepresentation
bin100111110010100111…
…100011000111011100
311002021120220222101200
4213302213203013130
51200000120100023
631343324235500
73041524601622
oct476247430734
9132246828350
1042725159388
111713526968a
12834469bb90
13404b837902
1420d44ad512
1511a0d8b743
hex9f29e31dc

42725159388 has 144 divisors (see below), whose sum is σ = 113353583616. Its totient is φ = 13552323840.

The previous prime is 42725159371. The next prime is 42725159413. The reversal of 42725159388 is 88395152724.

42725159388 is a `hidden beast` number, since 4 + 2 + 7 + 251 + 5 + 9 + 388 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38044995 + ... + 38046117.

It is an arithmetic number, because the mean of its divisors is an integer number (787177664).

Almost surely, 242725159388 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 42725159388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56676791808).

42725159388 is an abundant number, since it is smaller than the sum of its proper divisors (70628424228).

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

42725159388 is a wasteful number, since it uses less digits than its factorization.

42725159388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1699 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 42725159388 in words is "forty-two billion, seven hundred twenty-five million, one hundred fifty-nine thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 73 93 124 146 186 219 279 292 372 438 467 558 657 876 934 1116 1123 1314 1401 1868 2246 2263 2628 2802 3369 4203 4492 4526 5604 6738 6789 8406 9052 10107 13476 13578 14477 16812 20214 20367 27156 28954 34091 34813 40428 40734 43431 57908 68182 69626 81468 81979 86862 102273 104439 130293 136364 139252 163958 173724 204546 208878 245937 260586 306819 313317 327916 409092 417756 491874 521172 524441 613638 626634 737811 983748 1048882 1056821 1227276 1253268 1475622 1573323 2097764 2113642 2541349 2951244 3146646 3170463 4227284 4719969 5082698 6293292 6340926 7624047 9439938 9511389 10165396 12681852 15248094 16257671 18879876 19022778 22872141 30496188 32515342 38045556 38284193 45744282 48773013 65030684 76568386 91488564 97546026 114852579 146319039 153136772 195092052 229705158 292638078 344557737 459410316 585276156 689115474 1186809983 1378230948 2373619966 3560429949 4747239932 7120859898 10681289847 14241719796 21362579694 42725159388