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1543313690640 = 243451132107661
BaseRepresentation
bin10110011101010100101…
…010100001000000010000
312110112120011222121020000
4112131110222201000100
5200241201301100030
63140553304250000
7216333515632011
oct26352452410020
95415504877200
101543313690640
11545574387237
1220b130770900
13b26c2b62857
14549a7d79008
152a229c3a860
hex16754aa1010

1543313690640 has 200 divisors, whose sum is σ = 5407594670808. Its totient is φ = 407908085760.

The previous prime is 1543313690627. The next prime is 1543313690647. The reversal of 1543313690640 is 460963133451.

It is a happy number.

1543313690640 is a `hidden beast` number, since 1 + 543 + 3 + 1 + 3 + 69 + 0 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14045094144 + 1529268596496 = 118512^2 + 1236636^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1543313690647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 321591 + ... + 1786070.

Almost surely, 21543313690640 is an apocalyptic number.

1543313690640 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 1543313690640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703797335404).

1543313690640 is an abundant number, since it is smaller than the sum of its proper divisors (3864280980168).

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

1543313690640 is a wasteful number, since it uses less digits than its factorization.

1543313690640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107799 (or 2107784 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 1543313690640 in words is "one trillion, five hundred forty-three billion, three hundred thirteen million, six hundred ninety thousand, six hundred forty".