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1553540000430 = 2351123383547977
BaseRepresentation
bin10110100110110110001…
…100110010101010101110
312111111221212120222000110
4112212312030302222232
5200423122220003210
63145404133440450
7220145112060165
oct26466614625256
95444855528013
101553540000430
11549941914130
122111054a0126
13b36626b9732
14552981ac3dc
152a6278ed420
hex169b6332aae

1553540000430 has 256 divisors, whose sum is σ = 4267520557056. Its totient is φ = 358276638720.

The previous prime is 1553540000429. The next prime is 1553540000431. The reversal of 1553540000430 is 340000453551.

It is an interprime number because it is at equal distance from previous prime (1553540000429) and next prime (1553540000431).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1553540000431) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1590112102 + ... + 1590113078.

It is an arithmetic number, because the mean of its divisors is an integer number (16670002176).

Almost surely, 21553540000430 is an apocalyptic number.

1553540000430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1553540000430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133760278528).

1553540000430 is an abundant number, since it is smaller than the sum of its proper divisors (2713980556626).

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

1553540000430 is a wasteful number, since it uses less digits than its factorization.

1553540000430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951.

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 1553540000430 its reverse (340000453551), we get a palindrome (1893540453981).

The spelling of 1553540000430 in words is "one trillion, five hundred fifty-three billion, five hundred forty million, four hundred thirty", and thus it is an aban number.