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12797830440 = 2333531382253
BaseRepresentation
bin10111110101100111…
…10110010100101000
31020000220101010222000
423322303312110220
5202202221033230
65513525531000
7632066523003
oct137263662450
936026333860
1012797830440
11547805047a
122591b73a60
13128c538045
1489598053a
154ed819b60
hex2facf6528

12797830440 has 128 divisors (see below), whose sum is σ = 44035660800. Its totient is φ = 3302657280.

The previous prime is 12797830403. The next prime is 12797830459. The reversal of 12797830440 is 4403879721.

12797830440 is a `hidden beast` number, since 1 + 279 + 78 + 304 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157647 + ... + 224606.

It is an arithmetic number, because the mean of its divisors is an integer number (344028600).

Almost surely, 212797830440 is an apocalyptic number.

12797830440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12797830440 is an abundant number, since it is smaller than the sum of its proper divisors (31237830360).

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

12797830440 is a wasteful number, since it uses less digits than its factorization.

12797830440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382304 (or 382294 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12797830440 in words is "twelve billion, seven hundred ninety-seven million, eight hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 16740 33480 382253 764506 1146759 1529012 1911265 2293518 3058024 3440277 3822530 4587036 5733795 6880554 7645060 9174072 10320831 11467590 11849843 13761108 15290120 17201385 20641662 22935180 23699686 27522216 34402770 35549529 41283324 45870360 47399372 51604155 59249215 68805540 71099058 82566648 94798744 103208310 106648587 118498430 137611080 142198116 177747645 206416620 213297174 236996860 284396232 319945761 355495290 412833240 426594348 473993720 533242935 639891522 710990580 853188696 1066485870 1279783044 1421981160 1599728805 2132971740 2559566088 3199457610 4265943480 6398915220 12797830440