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5430748032 = 2734539883
BaseRepresentation
bin1010000111011001…
…01010001110000000
3112000110220120210000
411003230222032000
542110232414112
62254515440000
7251402411433
oct50354521600
915013816700
105430748032
112337574416
1210768b6000
13687177798
1439738b81a
1521bb907dc
hex143b2a380

5430748032 has 160 divisors (see below), whose sum is σ = 16468424280. Its totient is φ = 1775913984.

The previous prime is 5430748013. The next prime is 5430748033. The reversal of 5430748032 is 2308470345.

It is a happy number.

5430748032 is a `hidden beast` number, since 543 + 0 + 7 + 4 + 80 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430748033) 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 19 ways as a sum of consecutive naturals, for example, 544563 + ... + 554445.

Almost surely, 25430748032 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 5430748032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8234212140).

5430748032 is an abundant number, since it is smaller than the sum of its proper divisors (11037676248).

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

5430748032 is an equidigital number, since it uses as much as digits as its factorization.

5430748032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9962 (or 9941 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5430748032 is about 73693.6091666028. The cubic root of 5430748032 is about 1757.7342607566.

The spelling of 5430748032 in words is "five billion, four hundred thirty million, seven hundred forty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 81 96 106 108 128 144 159 162 192 212 216 288 318 324 384 424 432 477 576 636 648 848 864 954 1152 1272 1296 1431 1696 1728 1908 2544 2592 2862 3392 3456 3816 4293 5088 5184 5724 6784 7632 8586 9883 10176 10368 11448 15264 17172 19766 20352 22896 29649 30528 34344 39532 45792 59298 61056 68688 79064 88947 91584 118596 137376 158128 177894 183168 237192 266841 274752 316256 355788 474384 523799 533682 549504 632512 711576 800523 948768 1047598 1067364 1265024 1423152 1571397 1601046 1897536 2095196 2134728 2846304 3142794 3202092 3795072 4190392 4269456 4714191 5692608 6285588 6404184 8380784 8538912 9428382 11385216 12571176 12808368 14142573 16761568 17077824 18856764 25142352 25616736 28285146 33523136 34155648 37713528 42427719 50284704 51233472 56570292 67046272 75427056 84855438 100569408 102466944 113140584 150854112 169710876 201138816 226281168 301708224 339421752 452562336 603416448 678843504 905124672 1357687008 1810249344 2715374016 5430748032