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6404066280 = 2333519312089
BaseRepresentation
bin1011111011011011…
…00100101111101000
3121112022101021102000
411331231210233220
5101103420110110
62535245211000
7314461444113
oct57555445750
917468337360
106404066280
112796a23867
1212a8860a60
137b0a02141
1444a75157a
152773511c0
hex17db64be8

6404066280 has 128 divisors (see below), whose sum is σ = 22470480000. Its totient is φ = 1617864192.

The previous prime is 6404066269. The next prime is 6404066399. The reversal of 6404066280 is 826604046.

It is a happy number.

6404066280 is a `hidden beast` number, since 640 + 4 + 0 + 6 + 6 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 135525 + ... + 176564.

It is an arithmetic number, because the mean of its divisors is an integer number (175550625).

Almost surely, 26404066280 is an apocalyptic number.

6404066280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6404066280 is an abundant number, since it is smaller than the sum of its proper divisors (16066413720).

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

6404066280 is a wasteful number, since it uses less digits than its factorization.

6404066280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312128 (or 312118 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6404066280 is about 80025.4102145062. The cubic root of 6404066280 is about 1857.0286585288.

The spelling of 6404066280 in words is "six billion, four hundred four million, sixty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 20520 312089 624178 936267 1248356 1560445 1872534 2496712 2808801 3120890 3745068 4681335 5617602 5929691 6241780 7490136 8426403 9362670 11235204 11859382 12483560 14044005 16852806 17789073 18725340 22470408 23718764 28088010 29648455 33705612 35578146 37450680 42132015 47437528 53367219 56176020 59296910 67411224 71156292 84264030 88945365 106734438 112352040 118593820 142312584 160101657 168528060 177890730 213468876 237187640 266836095 320203314 337056120 355781460 426937752 533672190 640406628 711562920 800508285 1067344380 1280813256 1601016570 2134688760 3202033140 6404066280