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20673032625 = 34537241669
BaseRepresentation
bin10011010000001101…
…010111000110110001
31222100201221212110000
4103100031113012301
5314314244021000
613255210500213
71331203610100
oct232015270661
958321855400
1020673032625
11884942a433
12400b434669
131c45c644ab
141001840037
1580edb3000
hex4d03571b1

20673032625 has 120 divisors (see below), whose sum is σ = 44834086440. Its totient is φ = 9450302400.

The previous prime is 20673032573. The next prime is 20673032629. The reversal of 20673032625 is 52623037602.

It is a happy number.

20673032625 is a `hidden beast` number, since 20 + 6 + 7 + 3 + 0 + 3 + 2 + 625 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3236358321 + 17436674304 = 56889^2 + 132048^2 .

It is not a de Polignac number, because 20673032625 - 26 = 20673032561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20673032625.

It is not an unprimeable number, because it can be changed into a prime (20673032629) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 475291 + ... + 516959.

It is an arithmetic number, because the mean of its divisors is an integer number (373617387).

Almost surely, 220673032625 is an apocalyptic number.

20673032625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20673032625 is an abundant number, since it is smaller than the sum of its proper divisors (24161053815).

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

20673032625 is an equidigital number, since it uses as much as digits as its factorization.

20673032625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41710 (or 41684 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 20673032625 in words is "twenty billion, six hundred seventy-three million, thirty-two thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 125 135 147 175 189 225 245 315 375 405 441 525 567 675 735 875 945 1125 1225 1323 1575 2025 2205 2625 2835 3375 3675 3969 4725 6125 6615 7875 10125 11025 14175 18375 19845 23625 33075 41669 55125 70875 99225 125007 165375 208345 291683 375021 496125 625035 875049 1041725 1125063 1458415 1875105 2041781 2625147 3125175 3375189 4375245 5208625 5625315 6125343 7292075 7875441 9375525 10208905 13125735 15625875 16875945 18376029 21876225 23626323 28126575 30626715 36460375 39377205 46877625 51044525 55128087 65628675 84379725 91880145 109381125 118131615 140632875 153133575 165384261 196886025 255222625 275640435 328143375 421898625 459400725 590658075 765667875 826921305 984430125 1378202175 2297003625 2953290375 4134606525 6891010875 20673032625