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741426591487680 = 2632572174718233607
BaseRepresentation
bin1010100010010100101101010…
…0100111001101011011000000
310121020011200121221201001021100
42220211023110213031123000
51234140013124410101210
611144514401330054400
7312112206053165400
oct25045132447153300
93536150557631240
10741426591487680
111a5272284a4177a
126b1a553541a400
1325a922c5ca2a87
14d11334a628800
155aab3190a85c0
hex2a252d49cd6c0

741426591487680 has 2016 divisors, whose sum is σ = 3210541474922496. Its totient is φ = 155977666854912.

The previous prime is 741426591487553. The next prime is 741426591487807. The reversal of 741426591487680 is 86784195624147.

741426591487680 is a `hidden beast` number, since 7 + 4 + 1 + 4 + 2 + 65 + 9 + 1 + 487 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (741426591487553) and next prime (741426591487807).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 741426591487599 and 741426591487608.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 205552144437 + ... + 205552148043.

Almost surely, 2741426591487680 is an apocalyptic number.

741426591487680 is a gapful number since it is divisible by the number (70) 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 741426591487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605270737461248).

741426591487680 is an abundant number, since it is smaller than the sum of its proper divisors (2469114883434816).

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

741426591487680 is a wasteful number, since it uses less digits than its factorization.

741426591487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5531 (or 5511 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 741426591487680 in words is "seven hundred forty-one trillion, four hundred twenty-six billion, five hundred ninety-one million, four hundred eighty-seven thousand, six hundred eighty".