Search a number
-
+
457223558072380 = 2251119110881093719
BaseRepresentation
bin110011111110101111010011…
…1110000110000100000111100
32012221220010220220100010010121
41213331132213300300200330
5434412122321331304010
64300233334115144324
7165210212001032521
oct14775364760604074
92187803826303117
10457223558072380
1112275a470813730
1243344ba45a50a4
1316817cc54831c8
1480c9a49c09148
1537cd679c0b3da
hex19fd7a7c3083c

457223558072380 has 48 divisors (see below), whose sum is σ = 1052941677096960. Its totient is φ = 165392624513600.

The previous prime is 457223558072327. The next prime is 457223558072389. The reversal of 457223558072380 is 83270855322754.

It is a super-2 number, since 2×4572235580723802 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457223558072389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5440504840 + ... + 5440588879.

It is an arithmetic number, because the mean of its divisors is an integer number (21936284939520).

Almost surely, 2457223558072380 is an apocalyptic number.

It is an amenable number.

457223558072380 is an abundant number, since it is smaller than the sum of its proper divisors (595718119024580).

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

457223558072380 is a wasteful number, since it uses less digits than its factorization.

457223558072380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10881093930 (or 10881093928 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 61.

The spelling of 457223558072380 in words is "four hundred fifty-seven trillion, two hundred twenty-three billion, five hundred fifty-eight million, seventy-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 191 220 382 764 955 1910 2101 3820 4202 8404 10505 21010 42020 10881093719 21762187438 43524374876 54405468595 108810937190 119692030909 217621874380 239384061818 478768123636 598460154545 1196920309090 2078288900329 2393840618180 4156577800658 8313155601316 10391444501645 20782889003290 22861177903619 41565778006580 45722355807238 91444711614476 114305889518095 228611779036190 457223558072380