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10416848348060 = 225711171611124697
BaseRepresentation
bin1001011110010101110010…
…0010111010001110011100
31100212211201001221101101022
42113211130202322032130
52331132201134114220
634053233431503312
72123410133006510
oct227453442721634
940784631841338
1010416848348060
113356840364710
121202a31527b38
135a73c623018b
1428026cbb6140
15130e75a59925
hex9795c8ba39c

10416848348060 has 192 divisors, whose sum is σ = 28880470757376. Its totient is φ = 3055507660800.

The previous prime is 10416848348041. The next prime is 10416848348063. The reversal of 10416848348060 is 6084384861401.

It is a junction number, because it is equal to n+sod(n) for n = 10416848347993 and 10416848348011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10416848348063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 421773632 + ... + 421798328.

It is an arithmetic number, because the mean of its divisors is an integer number (150419118528).

Almost surely, 210416848348060 is an apocalyptic number.

10416848348060 is a gapful number since it is divisible by the number (10) 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 10416848348060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14440235378688).

10416848348060 is an abundant number, since it is smaller than the sum of its proper divisors (18463622409316).

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

10416848348060 is a wasteful number, since it uses less digits than its factorization.

10416848348060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40852 (or 40850 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 53.

The spelling of 10416848348060 in words is "ten trillion, four hundred sixteen billion, eight hundred forty-eight million, three hundred forty-eight thousand, sixty".