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6130126374840 = 23325131309856063
BaseRepresentation
bin101100100110100100000…
…0000010100011110111000
3210201000221001021022012200
41121031020000110132320
51300413444322443330
621012050254510200
71201613150310246
oct131151000243670
923630831238180
106130126374840
111a538545878a6
12830086b05360
133560b7481030
141729b1d93796
15a96d2e60a60
hex593480147b8

6130126374840 has 96 divisors (see below), whose sum is σ = 21455442328320. Its totient is φ = 1508954183424.

The previous prime is 6130126374833. The next prime is 6130126374943. The reversal of 6130126374840 is 484736210316.

6130126374840 is a `hidden beast` number, since 6 + 1 + 3 + 0 + 1 + 2 + 637 + 4 + 8 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 654923352 + ... + 654932711.

It is an arithmetic number, because the mean of its divisors is an integer number (223494190920).

Almost surely, 26130126374840 is an apocalyptic number.

6130126374840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6130126374840 is an abundant number, since it is smaller than the sum of its proper divisors (15325315953480).

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

6130126374840 is a wasteful number, since it uses less digits than its factorization.

6130126374840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309856093 (or 1309856086 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 6130126374840 in words is "six trillion, one hundred thirty billion, one hundred twenty-six million, three hundred seventy-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 1309856063 2619712126 3929568189 5239424252 6549280315 7859136378 10478848504 11788704567 13098560630 15718272756 17028128819 19647840945 23577409134 26197121260 31436545512 34056257638 39295681890 47154818268 51084386457 52394242520 58943522835 68112515276 78591363780 85140644095 94309636536 102168772914 117887045670 136225030552 153253159371 157182727560 170281288190 204337545828 235774091340 255421932285 306506318742 340562576380 408675091656 471548182680 510843864570 613012637484 681125152760 766265796855 1021687729140 1226025274968 1532531593710 2043375458280 3065063187420 6130126374840