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255114150456 = 233114739295233
BaseRepresentation
bin1110110110010111111…
…1010000001000111000
3220101111100021121200010
43231211333100020320
513134433210303311
6313110421341520
724300652333254
oct3554577201070
9811440247603
10255114150456
1199214318180
12415392678a0
131b098777019
14c4c1b09264
156981cbcda6
hex3b65fd0238

255114150456 has 128 divisors (see below), whose sum is σ = 710886067200. Its totient is φ = 75628769280.

The previous prime is 255114150449. The next prime is 255114150491. The reversal of 255114150456 is 654051411552.

It is a super-3 number, since 3×2551141504563 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48748416 + ... + 48753648.

It is an arithmetic number, because the mean of its divisors is an integer number (5553797400).

Almost surely, 2255114150456 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 255114150456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355443033600).

255114150456 is an abundant number, since it is smaller than the sum of its proper divisors (455771916744).

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

255114150456 is a wasteful number, since it uses less digits than its factorization.

255114150456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9229 (or 9225 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 39.

The spelling of 255114150456 in words is "two hundred fifty-five billion, one hundred fourteen million, one hundred fifty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 2068 3102 3929 4136 5233 6204 7858 10466 11787 12408 15699 15716 20932 23574 31398 31432 41864 43219 47148 57563 62796 86438 94296 115126 125592 129657 172689 172876 184663 230252 245951 259314 345378 345752 369326 460504 491902 518628 553989 690756 737853 738652 983804 1037256 1107978 1381512 1475706 1477304 1967608 2031293 2215956 2705461 2951412 4062586 4431912 5410922 5902824 6093879 8116383 8125172 10821844 12187758 16232766 16250344 20560457 21643688 24375516 32465532 41120914 48751032 61681371 64931064 82241828 123362742 164483656 226165027 246725484 452330054 493450968 678495081 904660108 966341479 1356990162 1809320216 1932682958 2713980324 2899024437 3865365916 5427960648 5798048874 7730731832 10629756269 11596097748 21259512538 23192195496 31889268807 42519025076 63778537614 85038050152 127557075228 255114150456