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5001028992 = 27331785121
BaseRepresentation
bin1001010100001010…
…11010010110000000
3110220112022121002000
410222011122112000
540220230411432
62144125224000
7234634021311
oct45205322600
913815277060
105001028992
112136a50113
12b76a02000
1361912c06b
1435628c608
151e40ab57c
hex12a15a580

5001028992 has 128 divisors (see below), whose sum is σ = 15628399200. Its totient is φ = 1568931840.

The previous prime is 5001028979. The next prime is 5001028999. The reversal of 5001028992 is 2998201005.

It is a tau number, because it is divible by the number of its divisors (128).

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 (5001028999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16192 + ... + 101312.

Almost surely, 25001028992 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 5001028992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814199600).

5001028992 is an abundant number, since it is smaller than the sum of its proper divisors (10627370208).

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

5001028992 is a wasteful number, since it uses less digits than its factorization.

5001028992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85161 (or 85143 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 5001028992 is about 70717.9538165521. The cubic root of 5001028992 is about 1710.0932420686.

Adding to 5001028992 its reverse (2998201005), we get a palindrome (7999229997).

The spelling of 5001028992 in words is "five billion, one million, twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3456 3672 4896 6528 7344 9792 14688 19584 29376 58752 85121 170242 255363 340484 510726 680968 766089 1021452 1361936 1447057 1532178 2042904 2298267 2723872 2894114 3064356 4085808 4341171 4596534 5447744 5788228 6128712 8171616 8682342 9193068 10895488 11576456 12257424 13023513 16343232 17364684 18386136 23152912 24514848 26047026 32686464 34729368 36772272 39070539 46305824 49029696 52094052 69458736 73544544 78141078 92611648 98059392 104188104 138917472 147089088 156282156 185223296 208376208 277834944 294178176 312564312 416752416 555669888 625128624 833504832 1250257248 1667009664 2500514496 5001028992