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5490126378 = 234113783267
BaseRepresentation
bin1010001110011110…
…01010111000101010
3112011121122022120000
411013033022320222
542220433021003
62304440243430
7253023206232
oct50717127052
915147568500
105490126378
112368040230
121092770576
136965677b9
143a1206cc2
15221ebe1a3
hex1473cae2a

5490126378 has 80 divisors (see below), whose sum is σ = 13783185504. Its totient is φ = 1618691040.

The previous prime is 5490126373. The next prime is 5490126407. The reversal of 5490126378 is 8736210945.

5490126378 is a `hidden beast` number, since 5 + 4 + 9 + 0 + 1 + 2 + 637 + 8 = 666.

5490126378 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54901263782 = 60282975292822797768, which contains 22 as substring.

5490126378 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (5490126373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24301 + ... + 107567.

It is a 1-persistent number, because it is pandigital, but 2⋅5490126378 = 10980252756 is not.

Almost surely, 25490126378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5490126378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6891592752).

5490126378 is an abundant number, since it is smaller than the sum of its proper divisors (8293059126).

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

5490126378 is a wasteful number, since it uses less digits than its factorization.

5490126378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83329 (or 83320 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5490126378 is about 74095.3870224051. The cubic root of 5490126378 is about 1764.1172523755.

The spelling of 5490126378 in words is "five billion, four hundred ninety million, one hundred twenty-six thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 81 99 111 162 198 222 297 333 407 594 666 814 891 999 1221 1782 1998 2442 2997 3663 5994 7326 10989 21978 32967 65934 83267 166534 249801 499602 749403 915937 1498806 1831874 2248209 2747811 3080879 4496418 5495622 6161758 6744627 8243433 9242637 13489254 16486866 18485274 24730299 27727911 33889669 49460598 55455822 67779338 74190897 83183733 101669007 148381794 166367466 203338014 249551199 305007021 499102398 610014042 915021063 1830042126 2745063189 5490126378