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2551002132 = 223732712287
BaseRepresentation
bin1001100000001101…
…0011010000010100
320120210011100001110
42120003103100110
520211024032012
61101044455020
7120134106000
oct23003232024
96523140043
102551002132
111099a79728
125b23aa470
13318678a23
141a2b29700
15ede5273c
hex980d3414

2551002132 has 96 divisors (see below), whose sum is σ = 6970163200. Its totient is φ = 725850720.

The previous prime is 2551002119. The next prime is 2551002163. The reversal of 2551002132 is 2312001552.

It is a super-2 number, since 2×25510021322 = 13015223754937090848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2551002099 and 2551002108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1114293 + ... + 1116579.

Almost surely, 22551002132 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 2551002132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485081600).

2551002132 is an abundant number, since it is smaller than the sum of its proper divisors (4419161068).

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

2551002132 is a wasteful number, since it uses less digits than its factorization.

2551002132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2551002132 is about 50507.4463025008. The cubic root of 2551002132 is about 1366.3761532276.

Adding to 2551002132 its reverse (2312001552), we get a palindrome (4863003684).

The spelling of 2551002132 in words is "two billion, five hundred fifty-one million, two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 271 294 343 542 588 686 813 1029 1084 1372 1626 1897 2058 2287 3252 3794 4116 4574 5691 6861 7588 9148 11382 13279 13722 16009 22764 26558 27444 32018 39837 48027 53116 64036 79674 92953 96054 112063 159348 185906 192108 224126 278859 336189 371812 448252 557718 619777 672378 784441 1115436 1239554 1344756 1568882 1859331 2353323 2479108 3137764 3718662 4338439 4706646 7437324 8676878 9413292 13015317 17353756 26030634 30369073 52061268 60738146 91107219 121476292 182214438 212583511 364428876 425167022 637750533 850334044 1275501066 2551002132