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5460436506 = 2372921121247
BaseRepresentation
bin1010001010111011…
…11010011000011010
3112002112202220201010
411011131322120122
542140332432011
62301500034350
7252212641650
oct50535723032
915075686633
105460436506
112352301848
1210848329b6
13690370a25
1439b2b8dd0
1521e5a71a6
hex14577a61a

5460436506 has 64 divisors (see below), whose sum is σ = 12973178880. Its totient is φ = 1499117760.

The previous prime is 5460436439. The next prime is 5460436507. The reversal of 5460436506 is 6056340645.

It is not an unprimeable number, because it can be changed into a prime (5460436507) 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 31 ways as a sum of consecutive naturals, for example, 246375 + ... + 267621.

It is an arithmetic number, because the mean of its divisors is an integer number (202705920).

Almost surely, 25460436506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5460436506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486589440).

5460436506 is an abundant number, since it is smaller than the sum of its proper divisors (7512742374).

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

5460436506 is a wasteful number, since it uses less digits than its factorization.

5460436506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21499.

The product of its (nonzero) digits is 259200, while the sum is 39.

The square root of 5460436506 is about 73894.7664317305. The cubic root of 5460436506 is about 1760.9314656631.

The spelling of 5460436506 in words is "five billion, four hundred sixty million, four hundred thirty-six thousand, five hundred six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 211 406 422 609 633 1218 1266 1477 2954 4431 6119 8862 12238 18357 21247 36714 42494 42833 63741 85666 127482 128499 148729 256998 297458 446187 616163 892374 1232326 1848489 3696978 4313141 4483117 8626282 8966234 12939423 13449351 25878846 26898702 31381819 62763638 94145457 130010393 188290914 260020786 390031179 780062358 910072751 1820145502 2730218253 5460436506