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5451004544 = 271910920563
BaseRepresentation
bin1010001001110011…
…11011101010000000
3112001220000201111012
411010321323222000
542130424121134
62300521540052
7252036526346
oct50471735200
915056021435
105451004544
112347a4a437
121081644628
1368b41a89b
14399d41996
1521d8426ce
hex144e7ba80

5451004544 has 64 divisors (see below), whose sum is σ = 11536404000. Its totient is φ = 2558241792.

The previous prime is 5451004543. The next prime is 5451004549. The reversal of 5451004544 is 4454001545.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 5451004544.

It is not an unprimeable number, because it can be changed into a prime (5451004541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254807 + ... + 275369.

Almost surely, 25451004544 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 5451004544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5768202000).

5451004544 is an abundant number, since it is smaller than the sum of its proper divisors (6085399456).

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

5451004544 is a wasteful number, since it uses less digits than its factorization.

5451004544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20705 (or 20693 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

The square root of 5451004544 is about 73830.9186181508. The cubic root of 5451004544 is about 1759.9169795550.

Subtracting from 5451004544 its reverse (4454001545), we obtain a cube (997002999 = 9993).

The spelling of 5451004544 in words is "five billion, four hundred fifty-one million, four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 109 128 152 218 304 436 608 872 1216 1744 2071 2432 3488 4142 6976 8284 13952 16568 20563 33136 41126 66272 82252 132544 164504 265088 329008 390697 658016 781394 1316032 1562788 2241367 2632064 3125576 4482734 6251152 8965468 12502304 17930936 25004608 35861872 42585973 50009216 71723744 85171946 143447488 170343892 286894976 340687784 681375568 1362751136 2725502272 5451004544