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1004252013024 = 253131077520459
BaseRepresentation
bin11101001110100100001…
…01011010000111100000
310120000011001100001210220
432213102011122013200
5112423202003404044
62045202541523040
7132361205160321
oct16472205320740
93500131301726
101004252013024
113579a0098247
12142769b73480
1373915185c90
143686b03c448
151b1c9bbc019
hexe9d215a1e0

1004252013024 has 96 divisors (see below), whose sum is σ = 2865475751040. Its totient is φ = 306112722432.

The previous prime is 1004252013013. The next prime is 1004252013101. The reversal of 1004252013024 is 4203102524001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1004252012985 and 1004252013003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3626694 + ... + 3893765.

It is an arithmetic number, because the mean of its divisors is an integer number (29848705740).

Almost surely, 21004252013024 is an apocalyptic number.

It is an amenable number.

1004252013024 is an abundant number, since it is smaller than the sum of its proper divisors (1861223738016).

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

1004252013024 is a wasteful number, since it uses less digits than its factorization.

1004252013024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7520592 (or 7520584 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 1004252013024 its reverse (4203102524001), we get a palindrome (5207354537025).

The spelling of 1004252013024 in words is "one trillion, four billion, two hundred fifty-two million, thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 107 156 208 214 312 321 416 428 624 642 856 1248 1284 1391 1712 2568 2782 3424 4173 5136 5564 8346 10272 11128 16692 22256 33384 44512 66768 133536 7520459 15040918 22561377 30081836 45122754 60163672 90245508 97765967 120327344 180491016 195531934 240654688 293297901 360982032 391063868 586595802 721964064 782127736 804689113 1173191604 1564255472 1609378226 2346383208 2414067339 3128510944 3218756452 4692766416 4828134678 6437512904 9385532832 9656269356 10460958469 12875025808 19312538712 20921916938 25750051616 31382875407 38625077424 41843833876 62765750814 77250154848 83687667752 125531501628 167375335504 251063003256 334750671008 502126006512 1004252013024