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63460045415316 = 223111677307393977
BaseRepresentation
bin11100110110111011100010…
…11101101110001110010100
322022200201110200021022021010
432123131301131232032110
531304212133111242231
6342545050431452220
716236560040622434
oct1633356135561624
9268621420238233
1063460045415316
1119247288267460
12714ab94987070
1329543449b8274
1411956a83082c4
15750b1c414546
hex39b77176e394

63460045415316 has 96 divisors (see below), whose sum is σ = 162524586212352. Its totient is φ = 19112500675840.

The previous prime is 63460045415311. The next prime is 63460045415323. The reversal of 63460045415316 is 61351454006436.

It is a happy number.

It is a super-2 number, since 2×634600454153162 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63460045415311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160878520 + ... + 161272496.

It is an arithmetic number, because the mean of its divisors is an integer number (1692964439712).

Almost surely, 263460045415316 is an apocalyptic number.

63460045415316 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63460045415316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81262293106176).

63460045415316 is an abundant number, since it is smaller than the sum of its proper divisors (99064540797036).

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

63460045415316 is a wasteful number, since it uses less digits than its factorization.

63460045415316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401469 (or 401467 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 63460045415316 in words is "sixty-three trillion, four hundred sixty billion, forty-five million, four hundred fifteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 167 334 501 668 1002 1837 2004 3674 5511 7307 7348 11022 14614 21921 22044 29228 43842 80377 87684 160754 241131 321508 393977 482262 787954 964524 1181931 1220269 1575908 2363862 2440538 3660807 4333747 4727724 4881076 7321614 8667494 13001241 13422959 14643228 17334988 26002482 26845918 40268877 52004964 53691836 65794159 80537754 131588318 161075508 197382477 263176636 394764954 723735749 789529908 1447471498 2171207247 2878789939 2894942996 4342414494 5757579878 8636369817 8684828988 11515159756 17272739634 31666689329 34545479268 63333378658 95000067987 126666757316 190000135974 380000271948 480757919813 961515839626 1442273759439 1923031679252 2884547518878 5288337117943 5769095037756 10576674235886 15865011353829 21153348471772 31730022707658 63460045415316