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630286642080 = 253252771580141
BaseRepresentation
bin10010010110000000000…
…00101110101110100000
32020020212202111212212200
421023000000232232200
540311311340021310
61201314422053200
763352043030034
oct11130000565640
92206782455780
10630286642080
11223337418007
12a21a187a200
13475885242b4
14227127c61c4
15115ddc179c0
hex92c002eba0

630286642080 has 144 divisors (see below), whose sum is σ = 2158619345064. Its totient is φ = 167469557760.

The previous prime is 630286642049. The next prime is 630286642123. The reversal of 630286642080 is 80246682036.

630286642080 is a `hidden beast` number, since 6 + 302 + 86 + 64 + 208 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 289646323344 + 340640318736 = 538188^2 + 583644^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6302866420802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391191 + ... + 1188950.

Almost surely, 2630286642080 is an apocalyptic number.

630286642080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

630286642080 is an abundant number, since it is smaller than the sum of its proper divisors (1528332702984).

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

630286642080 is a wasteful number, since it uses less digits than its factorization.

630286642080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580439 (or 1580428 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 630286642080 in words is "six hundred thirty billion, two hundred eighty-six million, six hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 277 288 360 480 554 720 831 1108 1385 1440 1662 2216 2493 2770 3324 4155 4432 4986 5540 6648 8310 8864 9972 11080 12465 13296 16620 19944 22160 24930 26592 33240 39888 44320 49860 66480 79776 99720 132960 199440 398880 1580141 3160282 4740423 6320564 7900705 9480846 12641128 14221269 15801410 18961692 23702115 25282256 28442538 31602820 37923384 47404230 50564512 56885076 63205640 71106345 75846768 94808460 113770152 126411280 142212690 151693536 189616920 227540304 252822560 284425380 379233840 437699057 455080608 568850760 758467680 875398114 1137701520 1313097171 1750796228 2188495285 2275403040 2626194342 3501592456 3939291513 4376990570 5252388684 6565485855 7003184912 7878583026 8753981140 10504777368 13130971710 14006369824 15757166052 17507962280 19696457565 21009554736 26261943420 31514332104 35015924560 39392915130 42019109472 52523886840 63028664208 70031849120 78785830260 105047773680 126057328416 157571660520 210095547360 315143321040 630286642080