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10427278150116 = 223217195396717497
BaseRepresentation
bin1001011110111100101000…
…1101011100100111100100
31100220211121221110020002100
42113233022031130213210
52331320031201300431
634102120410412100
72124226446605622
oct227571215344744
940824557406070
1010427278150116
11336020274a333
121204a62431030
135a8398c94a99
1428097c05a512
151313865164e6
hex97bca35c9e4

10427278150116 has 288 divisors, whose sum is σ = 29964112738560. Its totient is φ = 3037336952832.

The previous prime is 10427278150103. The next prime is 10427278150123. The reversal of 10427278150116 is 61105187272401.

10427278150116 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 72 + 78 + 1 + 501 + 1 + 6 = 666.

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, 595937880 + ... + 595955376.

It is an arithmetic number, because the mean of its divisors is an integer number (104042058120).

Almost surely, 210427278150116 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 10427278150116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14982056369280).

10427278150116 is an abundant number, since it is smaller than the sum of its proper divisors (19536834588444).

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

10427278150116 is a wasteful number, since it uses less digits than its factorization.

10427278150116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18563 (or 18558 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 10427278150116 in words is "ten trillion, four hundred twenty-seven billion, two hundred seventy-eight million, one hundred fifty thousand, one hundred sixteen".