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2550203264 = 27711292521
BaseRepresentation
bin1001100000000001…
…0000001110000000
320120201122202012202
42120000100032000
520210323001024
61101015412332
7120124240640
oct23000201600
96521582182
102550203264
111099583504
125b20840a8
1331845921b
141a299c520
15edd45bae
hex98010380

2550203264 has 64 divisors (see below), whose sum is σ = 5813714400. Its totient is φ = 1091543040.

The previous prime is 2550203261. The next prime is 2550203273. The reversal of 2550203264 is 4623020552.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2550203261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1010324 + ... + 1012844.

Almost surely, 22550203264 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 2550203264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906857200).

2550203264 is an abundant number, since it is smaller than the sum of its proper divisors (3263511136).

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

2550203264 is a wasteful number, since it uses less digits than its factorization.

2550203264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 2550203264 is about 50499.5372652067. The cubic root of 2550203264 is about 1366.2335075676.

The spelling of 2550203264 in words is "two billion, five hundred fifty million, two hundred three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1129 2258 2521 4516 5042 7903 9032 10084 15806 17647 18064 20168 31612 35294 36128 40336 63224 70588 72256 80672 126448 141176 144512 161344 252896 282352 322688 505792 564704 1011584 1129408 2258816 2846209 5692418 11384836 19923463 22769672 39846926 45539344 79693852 91078688 159387704 182157376 318775408 364314752 637550816 1275101632 2550203264