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2553241014 = 2341943101191
BaseRepresentation
bin1001100000101111…
…0101110110110110
320120221101002020000
42120023311312312
520212112203024
61101204452130
7120162122232
oct23013656666
96527332200
102553241014
1110a0268845
125b30aa046
13318c80acc
141a314d5c2
15ee245cc9
hex982f5db6

2553241014 has 160 divisors (see below), whose sum is σ = 6255912960. Its totient is φ = 775656000.

The previous prime is 2553240979. The next prime is 2553241021. The reversal of 2553241014 is 4101423552.

2553241014 is a `hidden beast` number, since 2 + 553 + 2 + 4 + 101 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13367659 + ... + 13367849.

It is an arithmetic number, because the mean of its divisors is an integer number (39099456).

Almost surely, 22553241014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553241014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127956480).

2553241014 is an abundant number, since it is smaller than the sum of its proper divisors (3702671946).

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

2553241014 is a wasteful number, since it uses less digits than its factorization.

2553241014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2553241014 is about 50529.6053220288. The cubic root of 2553241014 is about 1366.7757687902.

Adding to 2553241014 its reverse (4101423552), we get a palindrome (6654664566).

The spelling of 2553241014 in words is "two billion, five hundred fifty-three million, two hundred forty-one thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 43 54 57 81 86 101 114 129 162 171 191 202 258 303 342 382 387 513 573 606 774 817 909 1026 1146 1161 1539 1634 1719 1818 1919 2322 2451 2727 3078 3438 3483 3629 3838 4343 4902 5157 5454 5757 6966 7258 7353 8181 8213 8686 10314 10887 11514 13029 14706 15471 16362 16426 17271 19291 21774 22059 24639 26058 30942 32661 34542 38582 39087 44118 49278 51813 57873 65322 66177 73917 78174 82517 97983 103626 115746 117261 132354 147834 155439 156047 165034 173619 195966 221751 234522 247551 293949 310878 312094 347238 351783 366529 443502 468141 495102 520857 587898 665253 703566 733058 742653 829513 936282 1041714 1099587 1330506 1404423 1485306 1562571 1659026 2199174 2227959 2488539 2808846 3125142 3298761 4213269 4455918 4977078 6597522 6683877 7465617 8426538 9896283 12639807 13367754 14931234 15760747 19792566 22396851 25279614 29688849 31521494 44793702 47282241 59377698 67190553 94564482 134381106 141846723 283693446 425540169 851080338 1276620507 2553241014