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60103966938966 = 2321719725730712637
BaseRepresentation
bin11011010101010000010111…
…00110010101011101010110
321212210212211210112020110100
431222220023212111131112
530334220411014021331
6331455214202434530
715442240221352566
oct1552501346253526
9255725753466410
1060103966938966
1118172a49480165
1268a8674b02a46
13276ca1a1a52a2
1410bb094582da6
156e36971d1ae6
hex36aa0b995756

60103966938966 has 192 divisors, whose sum is σ = 139588961383872. Its totient is φ = 18625087143936.

The previous prime is 60103966938947. The next prime is 60103966939007. The reversal of 60103966938966 is 66983966930106.

60103966938966 is a `hidden beast` number, since 6 + 0 + 10 + 396 + 6 + 93 + 89 + 66 = 666.

It is a super-2 number, since 2×601039669389662 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 60103966938894 and 60103966938903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4756183200 + ... + 4756195836.

It is an arithmetic number, because the mean of its divisors is an integer number (727025840541).

Almost surely, 260103966938966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60103966938966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69794480691936).

60103966938966 is an abundant number, since it is smaller than the sum of its proper divisors (79484994444906).

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

60103966938966 is a wasteful number, since it uses less digits than its factorization.

60103966938966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13423 (or 13420 counting only the distinct ones).

The product of its (nonzero) digits is 408146688, while the sum is 72.

The spelling of 60103966938966 in words is "sixty trillion, one hundred three billion, nine hundred sixty-six million, nine hundred thirty-eight thousand, nine hundred sixty-six".