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5051150144 = 26414389503
BaseRepresentation
bin1001011010001001…
…00110111101000000
3111001000122000100222
410231010212331000
540321043301034
62153115402212
7236113032155
oct45504467500
914030560328
105051150144
112162273957
12b8b753368
1362662a651
1435cbb822c
151e86ac12e
hex12d126f40

5051150144 has 112 divisors (see below), whose sum is σ = 10645810560. Its totient is φ = 2374901760.

The previous prime is 5051150141. The next prime is 5051150147. The reversal of 5051150144 is 4410511505.

It is an interprime number because it is at equal distance from previous prime (5051150141) and next prime (5051150147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5051150141) 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, 10041797 + ... + 10042299.

It is an arithmetic number, because the mean of its divisors is an integer number (95051880).

Almost surely, 25051150144 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 5051150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322905280).

5051150144 is an abundant number, since it is smaller than the sum of its proper divisors (5594660416).

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

5051150144 is a wasteful number, since it uses less digits than its factorization.

5051150144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The square root of 5051150144 is about 71071.4439419940. The cubic root of 5051150144 is about 1715.7872094295.

Adding to 5051150144 its reverse (4410511505), we get a palindrome (9461661649).

The spelling of 5051150144 in words is "five billion, fifty-one million, one hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 43 64 82 86 89 164 172 178 328 344 356 503 656 688 712 1006 1312 1376 1424 1763 2012 2624 2752 2848 3526 3649 3827 4024 5696 7052 7298 7654 8048 14104 14596 15308 16096 20623 21629 28208 29192 30616 32192 41246 43258 44767 56416 58384 61232 82492 86516 89534 112832 116768 122464 156907 164984 173032 179068 233536 244928 313814 329968 346064 358136 627628 659936 692128 716272 886789 1255256 1319872 1384256 1432544 1773578 1835447 1924981 2510512 2865088 3547156 3670894 3849962 5021024 7094312 7341788 7699924 10042048 14188624 14683576 15399848 28377248 29367152 30799696 56754496 58734304 61599392 78924221 117468608 123198784 157848442 315696884 631393768 1262787536 2525575072 5051150144