Search a number
-
+
1000488059536 = 247213922572
BaseRepresentation
bin11101000111100011011…
…11000100001010010000
310112122102201210102022011
432203301233010022100
5112342444420401121
62043341243152304
7132166012122100
oct16436157041220
93478381712264
101000488059536
11356339477289
12141a99515694
137346542ca74
14365d11b1200
151b0595217e1
hexe8f1bc4290

1000488059536 has 135 divisors (see below), whose sum is σ = 2280137731209. Its totient is φ = 424039440384.

The previous prime is 1000488059507. The next prime is 1000488059537. The reversal of 1000488059536 is 6359508840001.

The square root of 1000488059536 is 1000244.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 984976851600 + 15511207936 = 992460^2 + 124544^2 .

It is a super-2 number, since 2×10004880595362 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000488059536.

It is not an unprimeable number, because it can be changed into a prime (1000488059537) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3892949520 + ... + 3892949776.

Almost surely, 21000488059536 is an apocalyptic number.

1000488059536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1000488059536 is the 1000244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000488059536

1000488059536 is an abundant number, since it is smaller than the sum of its proper divisors (1279649671673).

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

1000488059536 is an frugal number, since it uses more digits than its factorization.

1000488059536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

Multiplying 1000488059536 by its sum of digits (49), we get a square (49023914917264 = 70017082).

1000488059536 divided by its sum of digits (49) gives a square (20418123664 = 1428922).

The spelling of 1000488059536 in words is "one trillion, four hundred eighty-eight million, fifty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 139 196 257 278 392 514 556 784 973 1028 1112 1799 1946 2056 2224 3598 3892 4112 6811 7196 7784 12593 13622 14392 15568 19321 25186 27244 28784 35723 38642 50372 54488 66049 71446 77284 100744 108976 132098 135247 142892 154568 201488 250061 264196 270494 285784 309136 462343 500122 528392 540988 571568 924686 946729 1000244 1056784 1081976 1750427 1849372 1893458 2000488 2163952 3236401 3500854 3698744 3786916 4000976 4965497 6472802 7001708 7397488 7573832 9180811 9930994 12945604 14003416 15147664 18361622 19861988 25891208 28006832 34758479 36723244 39723976 51782416 64265677 69516958 73446488 79447952 128531354 139033916 146892976 243309353 257062708 278067832 449859739 486618706 514125416 556135664 899719478 973237412 1028250832 1276132729 1799438956 1946474824 2552265458 3598877912 3892949648 5104530916 7197755824 8932929103 10209061832 17865858206 20418123664 35731716412 62530503721 71463432824 125061007442 142926865648 250122014884 500244029768 1000488059536