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428065762280 = 235138081101869
BaseRepresentation
bin1100011101010101011…
…01010010101111101000
31111220220122020211000212
412032222231102233220
524003134313343110
6524352314520252
742632603641562
oct6165255225750
91456818224025
10428065762280
111555a5a65a62
126ab66436088
133149c072a80
1416a0b790332
15b2057eee05
hex63aab52be8

428065762280 has 64 divisors (see below), whose sum is σ = 1037374808400. Its totient is φ = 158033940480.

The previous prime is 428065762279. The next prime is 428065762283. The reversal of 428065762280 is 82267560824.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 37043161156 + 391022601124 = 192466^2 + 625318^2 .

It is not an unprimeable number, because it can be changed into a prime (428065762283) 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, 4151186 + ... + 4253054.

Almost surely, 2428065762280 is an apocalyptic number.

428065762280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428065762280 is an abundant number, since it is smaller than the sum of its proper divisors (609309046120).

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

428065762280 is a wasteful number, since it uses less digits than its factorization.

428065762280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109974 (or 109970 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 50.

The spelling of 428065762280 in words is "four hundred twenty-eight billion, sixty-five million, seven hundred sixty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 8081 16162 32324 40405 64648 80810 101869 105053 161620 203738 210106 323240 407476 420212 509345 525265 814952 840424 1018690 1050530 1324297 2037380 2101060 2648594 4074760 4202120 5297188 6621485 10594376 13242970 26485940 52971880 823203389 1646406778 3292813556 4116016945 6585627112 8232033890 10701644057 16464067780 21403288114 32928135560 42806576228 53508220285 85613152456 107016440570 214032881140 428065762280