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20629724202 = 23219832233259
BaseRepresentation
bin10011001101101000…
…001001110000101010
31222020201110120110100
4103031220021300222
5314222202133302
613251022330230
71330136522343
oct231550116052
958221416410
1020629724202
118826a3a14a
123bb8a29976
131c39cacac9
14dd9ba90ca
1580b1aad1c
hex4cda09c2a

20629724202 has 96 divisors (see below), whose sum is σ = 47845324800. Its totient is φ = 6405332256.

The previous prime is 20629724197. The next prime is 20629724207. The reversal of 20629724202 is 20242792602.

20629724202 is a `hidden beast` number, since 2 + 0 + 629 + 7 + 2 + 4 + 20 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20629724197) and next prime (20629724207).

It is not an unprimeable number, because it can be changed into a prime (20629724207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6328449 + ... + 6331707.

It is an arithmetic number, because the mean of its divisors is an integer number (498388800).

Almost surely, 220629724202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20629724202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23922662400).

20629724202 is an abundant number, since it is smaller than the sum of its proper divisors (27215600598).

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

20629724202 is a wasteful number, since it uses less digits than its factorization.

20629724202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 20629724202 in words is "twenty billion, six hundred twenty-nine million, seven hundred twenty-four thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 83 114 166 171 223 249 342 446 498 669 747 1338 1494 1577 2007 3154 3259 4014 4237 4731 6518 8474 9462 9777 12711 14193 18509 19554 25422 28386 29331 37018 38133 55527 58662 61921 76266 111054 123842 166581 185763 270497 333162 351671 371526 540994 557289 703342 726757 811491 1055013 1114578 1453514 1622982 2110026 2180271 2434473 3165039 4360542 4868946 5139443 6330078 6540813 10278886 13081626 13808383 15418329 27616766 30836658 41425149 46254987 60320831 82850298 92509974 120641662 124275447 180962493 248550894 361924986 542887479 1085774958 1146095789 2292191578 3438287367 6876574734 10314862101 20629724202