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5021351440 = 245725324169
BaseRepresentation
bin1001010110100101…
…11011111000010000
3110221221120002020021
410223102323320100
540240431221230
62150132553224
7235301532400
oct45322737020
913857502207
105021351440
112147470726
12b81782814
136203c6191
14358c5c800
151e5c72c7a
hex12b4bbe10

5021351440 has 120 divisors (see below), whose sum is σ = 13837518360. Its totient is φ = 1689053184.

The previous prime is 5021351429. The next prime is 5021351443. The reversal of 5021351440 is 441531205.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2341011456 + 2680339984 = 48384^2 + 51772^2 .

It is not an unprimeable number, because it can be changed into a prime (5021351443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195676 + ... + 219844.

It is an arithmetic number, because the mean of its divisors is an integer number (115312653).

Almost surely, 25021351440 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 5021351440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918759180).

5021351440 is an abundant number, since it is smaller than the sum of its proper divisors (8816166920).

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

5021351440 is a wasteful number, since it uses less digits than its factorization.

5021351440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24249 (or 24236 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5021351440 is about 70861.4947626707. The cubic root of 5021351440 is about 1712.4065201251.

Adding to 5021351440 its reverse (441531205), we get a palindrome (5462882645).

The spelling of 5021351440 in words is "five billion, twenty-one million, three hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 53 56 70 80 98 106 112 140 196 212 245 265 280 371 392 424 490 530 560 742 784 848 980 1060 1484 1855 1960 2120 2597 2968 3710 3920 4240 5194 5936 7420 10388 12985 14840 20776 24169 25970 29680 41552 48338 51940 96676 103880 120845 169183 193352 207760 241690 338366 386704 483380 676732 845915 966760 1184281 1280957 1353464 1691830 1933520 2368562 2561914 2706928 3383660 4737124 5123828 5921405 6404785 6767320 8966699 9474248 10247656 11842810 12809570 13534640 17933398 18948496 20495312 23685620 25619140 35866796 44833495 47371240 51238280 62766893 71733592 89666990 94742480 102476560 125533786 143467184 179333980 251067572 313834465 358667960 502135144 627668930 717335920 1004270288 1255337860 2510675720 5021351440