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10242046698840 = 23335112668911717
BaseRepresentation
bin1001010100001010100110…
…0011100010010101011000
31100021010111211210112211000
42111002221203202111120
52320301202423330330
633441044205505000
72104651315342155
oct225025143422530
940233454715730
1010242046698840
11329969a396400
121194b88872160
13593a89574c48
14275a0955122c
1512b6448d8560
hex950a98e2558

10242046698840 has 384 divisors, whose sum is σ = 37534769496000. Its totient is φ = 2482337341440.

The previous prime is 10242046698803. The next prime is 10242046698841. The reversal of 10242046698840 is 4889664024201.

It is a happy number.

10242046698840 is a `hidden beast` number, since 1 + 0 + 2 + 420 + 46 + 69 + 88 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242046698841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 874112662 + ... + 874124378.

Almost surely, 210242046698840 is an apocalyptic number.

10242046698840 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 10242046698840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18767384748000).

10242046698840 is an abundant number, since it is smaller than the sum of its proper divisors (27292722797160).

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

10242046698840 is a wasteful number, since it uses less digits than its factorization.

10242046698840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18448 (or 18427 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 10242046698840 in words is "ten trillion, two hundred forty-two billion, forty-six million, six hundred ninety-eight thousand, eight hundred forty".