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2521133004 = 22313791571303
BaseRepresentation
bin1001011001000101…
…0110111111001100
320111200221211022110
42112101112333030
520130402224004
61054100344020
7116322163665
oct22621267714
96450854273
102521133004
1110841285a5
125a43a5010
1331241b4a0
1419cb9236c
15eb502589
hex96456fcc

2521133004 has 96 divisors (see below), whose sum is σ = 6461163520. Its totient is φ = 760451328.

The previous prime is 2521133003. The next prime is 2521133023. The reversal of 2521133004 is 4003311252.

It is a super-2 number, since 2×25211330042 = 12712223247716128032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2521133003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1934217 + ... + 1935519.

Almost surely, 22521133004 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 2521133004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230581760).

2521133004 is an abundant number, since it is smaller than the sum of its proper divisors (3940030516).

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

2521133004 is a wasteful number, since it uses less digits than its factorization.

2521133004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2521133004 is about 50210.8853138440. The cubic root of 2521133004 is about 1361.0223361147.

Adding to 2521133004 its reverse (4003311252), we get a palindrome (6524444256).

The spelling of 2521133004 in words is "two billion, five hundred twenty-one million, one hundred thirty-three thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 79 156 157 158 237 314 316 471 474 628 942 948 1027 1303 1884 2041 2054 2606 3081 3909 4082 4108 5212 6123 6162 7818 8164 12246 12324 12403 15636 16939 24492 24806 33878 37209 49612 50817 67756 74418 101634 102937 148836 161239 203268 204571 205874 308811 322478 409142 411748 483717 613713 617622 644956 818284 967434 1227426 1235244 1338181 1934868 2454852 2659423 2676362 4014543 5318846 5352724 7978269 8029086 10637692 15956538 16058172 16161109 31913076 32322218 48483327 64644436 96966654 193933308 210094417 420188834 630283251 840377668 1260566502 2521133004