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5437046340 = 223251153197263
BaseRepresentation
bin1010001000001001…
…01011111001000100
3112000220202120102200
411010010223321010
542113340440330
62255302434500
7251510063025
oct50404537104
915026676380
105437046340
112340086430
121078a32a30
136885714ab
1439814ac4c
1521c4d6a60
hex14412be44

5437046340 has 288 divisors, whose sum is σ = 18494251776. Its totient is φ = 1281745920.

The previous prime is 5437046317. The next prime is 5437046347. The reversal of 5437046340 is 436407345.

It is a happy number.

5437046340 is a `hidden beast` number, since 543 + 70 + 4 + 6 + 3 + 40 = 666.

It is a super-2 number, since 2×54370463402 = 59122945806614791200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5437046295 and 5437046304.

It is not an unprimeable number, because it can be changed into a prime (5437046347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20673049 + ... + 20673311.

It is an arithmetic number, because the mean of its divisors is an integer number (64216152).

Almost surely, 25437046340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5437046340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9247125888).

5437046340 is an abundant number, since it is smaller than the sum of its proper divisors (13057205436).

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

5437046340 is a wasteful number, since it uses less digits than its factorization.

5437046340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 5437046340 is about 73736.3298517088. The cubic root of 5437046340 is about 1758.4135087890.

The spelling of 5437046340 in words is "five billion, four hundred thirty-seven million, forty-six thousand, three hundred forty".