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6145046050410 = 2325671237823831
BaseRepresentation
bin101100101101100000101…
…0010010111011001101010
3210202110102211021100111100
41121123001102113121222
51301140023242103120
621022554543142230
71202651653412541
oct131330122273152
923673384240440
106145046050410
111a5a110326993
12832b4b5a4976
13357624485127
141735c9669158
15a9ca7baa490
hex596c149766a

6145046050410 has 96 divisors (see below), whose sum is σ = 16228712702592. Its totient is φ = 1612914145920.

The previous prime is 6145046050399. The next prime is 6145046050417. The reversal of 6145046050410 is 140506405416.

6145046050410 is a `hidden beast` number, since 6 + 1 + 4 + 5 + 0 + 4 + 605 + 0 + 41 + 0 = 666.

It is a super-2 number, since 2×61450460504102 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6145046050417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7047195 + ... + 7871025.

It is an arithmetic number, because the mean of its divisors is an integer number (169049090652).

Almost surely, 26145046050410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6145046050410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8114356351296).

6145046050410 is an abundant number, since it is smaller than the sum of its proper divisors (10083666652182).

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

6145046050410 is a wasteful number, since it uses less digits than its factorization.

6145046050410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825148 (or 825145 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 6145046050410 in words is "six trillion, one hundred forty-five billion, forty-six million, fifty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 1237 2010 2474 3015 3711 6030 6185 7422 11133 12370 18555 22266 37110 55665 82879 111330 165758 248637 414395 497274 745911 823831 828790 1243185 1491822 1647662 2471493 2486370 3729555 4119155 4942986 7414479 7459110 8238310 12357465 14828958 24714930 37072395 55196677 74144790 110393354 165590031 275983385 331180062 496770093 551966770 827950155 993540186 1019078947 1655900310 2038157894 2483850465 3057236841 4967700930 5095394735 6114473682 9171710523 10190789470 15286184205 18343421046 30572368410 45858552615 68278289449 91717105230 136556578898 204834868347 341391447245 409669736694 614504605041 682782894490 1024174341735 1229009210082 2048348683470 3072523025205 6145046050410