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5413447269432 = 23332331109389829
BaseRepresentation
bin100111011000110101010…
…0110011111110000111000
3201011112001110002120012000
41032301222212133300320
51202143220000110212
615302523042221000
71066052161365246
oct116615246376070
921145043076160
105413447269432
1117a7914945474
127351b4654760
13303641656167
1414a025861796
1595c3996b1dc
hex4ec6a99fc38

5413447269432 has 512 divisors, whose sum is σ = 16407705600000. Its totient is φ = 1648778250240.

The previous prime is 5413447269431. The next prime is 5413447269467. The reversal of 5413447269432 is 2349627443145.

5413447269432 is a `hidden beast` number, since 5 + 4 + 1 + 344 + 7 + 269 + 4 + 32 = 666.

It is a super-2 number, since 2×54134472694322 (a number of 26 digits) contains 22 as substring.

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 (5413447269431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6530092794 + ... + 6530093622.

It is an arithmetic number, because the mean of its divisors is an integer number (32046300000).

Almost surely, 25413447269432 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 5413447269432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8203852800000).

5413447269432 is an abundant number, since it is smaller than the sum of its proper divisors (10994258330568).

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

5413447269432 is a wasteful number, since it uses less digits than its factorization.

5413447269432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1386 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 5413447269432 in words is "five trillion, four hundred thirteen billion, four hundred forty-seven million, two hundred sixty-nine thousand, four hundred thirty-two".