Search a number
-
+
428370617768 = 23374135297513
BaseRepresentation
bin1100011101111001110…
…00001110010110101000
31111221200212220002010212
412032330320032112220
524004300334232033
6524442445000252
742643265113232
oct6167470162650
91457625802125
10428370617768
11155742056445
126b030553088
133151a280932
1416a3a069252
15b22246c748
hex63bce0e5a8

428370617768 has 32 divisors (see below), whose sum is σ = 845022485160. Its totient is φ = 203313669120.

The previous prime is 428370617767. The next prime is 428370617771. The reversal of 428370617768 is 867716073824.

It can be written as a sum of positive squares in 4 ways, for example, as 197742081124 + 230628536644 = 444682^2 + 480238^2 .

It is not an unprimeable number, because it can be changed into a prime (428370617767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17636621 + ... + 17660892.

Almost surely, 2428370617768 is an apocalyptic number.

It is an amenable number.

428370617768 is a deficient number, since it is larger than the sum of its proper divisors (416651867392).

428370617768 is a wasteful number, since it uses less digits than its factorization.

428370617768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35297597 (or 35297593 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 59.

The spelling of 428370617768 in words is "four hundred twenty-eight billion, three hundred seventy million, six hundred seventeen thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 37 41 74 82 148 164 296 328 1517 3034 6068 12136 35297513 70595026 141190052 282380104 1306007981 1447198033 2612015962 2894396066 5224031924 5788792132 10448063848 11577584264 53546327221 107092654442 214185308884 428370617768