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5128390746 = 234101379827
BaseRepresentation
bin1001100011010110…
…10000100001011010
3111020101222020120000
410301223100201122
541000332000441
62204515113430
7241041413343
oct46153204132
914211866500
105128390746
1121a192a966
12bb15a2876
13639632a4b
143691630ca
152003682b6
hex131ad085a

5128390746 has 80 divisors (see below), whose sum is σ = 11649860640. Its totient is φ = 1686031200.

The previous prime is 5128390649. The next prime is 5128390747. The reversal of 5128390746 is 6470938215.

5128390746 is a `hidden beast` number, since 512 + 8 + 3 + 90 + 7 + 46 = 666.

5128390746 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

5128390746 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (5128390747) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6200785 + ... + 6201611.

It is an arithmetic number, because the mean of its divisors is an integer number (145623258).

It is a 1-persistent number, because it is pandigital, but 2⋅5128390746 = 10256781492 is not.

Almost surely, 25128390746 is an apocalyptic number.

5128390746 is the 38279-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5128390746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5824930320).

5128390746 is an abundant number, since it is smaller than the sum of its proper divisors (6521469894).

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

5128390746 is a wasteful number, since it uses less digits than its factorization.

5128390746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1312 counting only the distinct ones).

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

The square root of 5128390746 is about 71612.7833979381. The cubic root of 5128390746 is about 1724.4887649473.

The spelling of 5128390746 in words is "five billion, one hundred twenty-eight million, three hundred ninety thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 379 606 758 827 909 1137 1654 1818 2274 2481 2727 3411 4962 5454 6822 7443 8181 10233 14886 16362 20466 22329 30699 38279 44658 61398 66987 76558 83527 114837 133974 167054 229674 250581 313433 344511 501162 626866 689022 751743 940299 1033533 1503486 1880598 2067066 2255229 2820897 3100599 4510458 5641794 6201198 6765687 8462691 13531374 16925382 25388073 31656733 50776146 63313466 94970199 189940398 284910597 569821194 854731791 1709463582 2564195373 5128390746