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60406016307104 = 2513499907320833
BaseRepresentation
bin11011011110000010111110…
…01001001110111110100000
321220212202111010200221210002
431233001133021032332200
530404143010133311404
6332250050224555132
715503122252543406
oct1557013711167640
9256782433627702
1060406016307104
111827a058473036
126937110782aa8
132792355774b60
1410cb949951476
156eb474755c1e
hex36f05f24efa0

60406016307104 has 96 divisors (see below), whose sum is σ = 128470916952000. Its totient is φ = 27793065295872.

The previous prime is 60406016307103. The next prime is 60406016307157. The reversal of 60406016307104 is 40170361060406.

It is a super-2 number, since 2×604060163071042 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (60406016307103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188118272 + ... + 188439104.

It is an arithmetic number, because the mean of its divisors is an integer number (1338238718250).

Almost surely, 260406016307104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60406016307104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64235458476000).

60406016307104 is an abundant number, since it is smaller than the sum of its proper divisors (68064900644896).

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

60406016307104 is a wasteful number, since it uses less digits than its factorization.

60406016307104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322262 (or 322254 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 60406016307104 in words is "sixty trillion, four hundred six billion, sixteen million, three hundred seven thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 499 907 998 1814 1996 3628 3992 6487 7256 7984 11791 12974 14512 15968 23582 25948 29024 47164 51896 94328 103792 188656 207584 320833 377312 452593 641666 905186 1283332 1810372 2566664 3620744 4170829 5133328 5883709 7241488 8341658 10266656 11767418 14482976 16683316 23534836 33366632 47069672 66733264 94139344 133466528 160095667 188278688 290995531 320191334 581991062 640382668 1163982124 1280765336 2081243671 2327964248 2561530672 3782941903 4162487342 4655928496 5123061344 7565883806 8324974684 9311856992 15131767612 16649949368 30263535224 33299898736 60527070448 66599797472 121054140896 145206769969 290413539938 580827079876 1161654159752 1887688009597 2323308319504 3775376019194 4646616639008 7550752038388 15101504076776 30203008153552 60406016307104