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20242000404 = 22323740137897
BaseRepresentation
bin10010110110100001…
…000110101000010100
31221020200220011101200
4102312201012220110
5312423423003104
613144332152500
71314421110303
oct226641065024
957220804350
1020242000404
11864809955a
123b0b008730
131ba7879142
14da04bc43a
157d711eb39
hex4b6846a14

20242000404 has 72 divisors (see below), whose sum is σ = 52682616168. Its totient is φ = 6548428800.

The previous prime is 20242000393. The next prime is 20242000451. The reversal of 20242000404 is 40400024202.

20242000404 is a `hidden beast` number, since 20 + 242 + 0 + 0 + 0 + 404 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6786464400 + 13455536004 = 82380^2 + 115998^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515184 + ... + 553080.

Almost surely, 220242000404 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 20242000404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26341308084).

20242000404 is an abundant number, since it is smaller than the sum of its proper divisors (32440615764).

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

20242000404 is a wasteful number, since it uses less digits than its factorization.

20242000404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38345 (or 38340 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20242000404 its reverse (40400024202), we get a palindrome (60642024606).

The spelling of 20242000404 in words is "twenty billion, two hundred forty-two million, four hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 401 444 666 802 1203 1332 1604 2406 3609 4812 7218 14436 14837 29674 37897 44511 59348 75794 89022 113691 133533 151588 178044 227382 267066 341073 454764 534132 682146 1364292 1402189 2804378 4206567 5608756 8413134 12619701 15196697 16826268 25239402 30393394 45590091 50478804 60786788 91180182 136770273 182360364 273540546 547081092 562277789 1124555578 1686833367 2249111156 3373666734 5060500101 6747333468 10121000202 20242000404