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2551005414 = 234175571663
BaseRepresentation
bin1001100000001101…
…0100000011100110
320120210011111120000
42120003110003212
520211024133124
61101044522130
7120134121366
oct23003240346
96523144500
102551005414
111099a81141
125b23b0346
1331867a379
141a2b2a9a6
15ede536c9
hex980d40e6

2551005414 has 80 divisors (see below), whose sum is σ = 6066897408. Its totient is φ = 798398208.

The previous prime is 2551005409. The next prime is 2551005427. The reversal of 2551005414 is 4145001552.

It is a super-2 number, since 2×25510054142 = 13015257244514622792, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1533147 + ... + 1534809.

Almost surely, 22551005414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2551005414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033448704).

2551005414 is an abundant number, since it is smaller than the sum of its proper divisors (3515891994).

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

2551005414 is a wasteful number, since it uses less digits than its factorization.

2551005414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 2551005414 is about 50507.4787927491. The cubic root of 2551005414 is about 1366.3767391992.

Adding to 2551005414 its reverse (4145001552), we get a palindrome (6696006966).

The spelling of 2551005414 in words is "two billion, five hundred fifty-one million, five thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 557 918 1114 1377 1663 1671 2754 3326 3342 4989 5013 9469 9978 10026 14967 15039 18938 28271 28407 29934 30078 44901 45117 56542 56814 84813 85221 89802 90234 134703 169626 170442 254439 255663 269406 508878 511326 763317 766989 926291 1526634 1533978 1852582 2289951 2778873 4579902 5557746 8336619 15746947 16673238 25009857 31493894 47240841 50019714 75029571 94481682 141722523 150059142 283445046 425167569 850335138 1275502707 2551005414