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2505081372 = 2231917961381
BaseRepresentation
bin1001010101010000…
…1000001000011100
320110120202022121120
42111110020020130
520112300100442
61052324330540
7116035561143
oct22524101034
96416668546
102505081372
111076064792
1259ab43a50
1330bcbb291
1419a9b475a
15e9dd14ec
hex9550821c

2505081372 has 48 divisors (see below), whose sum is σ = 6187305600. Its totient is φ = 786646080.

The previous prime is 2505081367. The next prime is 2505081373. The reversal of 2505081372 is 2731805052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505081373) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10122 + ... + 71502.

It is an arithmetic number, because the mean of its divisors is an integer number (128902200).

Almost surely, 22505081372 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 2505081372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093652800).

2505081372 is an abundant number, since it is smaller than the sum of its proper divisors (3682224228).

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

2505081372 is a wasteful number, since it uses less digits than its factorization.

2505081372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61586 (or 61584 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 2505081372 is about 50050.7879258659. The cubic root of 2505081372 is about 1358.1277170476.

The spelling of 2505081372 in words is "two billion, five hundred five million, eighty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 179 228 358 537 716 1074 2148 3401 6802 10203 13604 20406 40812 61381 122762 184143 245524 368286 736572 1166239 2332478 3498717 4664956 6997434 10987199 13994868 21974398 32961597 43948796 65923194 131846388 208756781 417513562 626270343 835027124 1252540686 2505081372