Search a number
-
+
20125604761320 = 23352936876599
BaseRepresentation
bin1001001001101110110111…
…00001011100111011101000
32122020222200222222111021210
410210313123201130323220
510114214214304330240
6110445324124033120
74145012150621202
oct444673341347350
978228628874253
1020125604761320
11645a24823a303
1223105883927a0
13b2cab4701806
144d8127acb772
1524d7a6e01780
hex124ddb85cee8

20125604761320 has 128 divisors (see below), whose sum is σ = 62533049760000. Its totient is φ = 5181764150528.

The previous prime is 20125604761289. The next prime is 20125604761331. The reversal of 20125604761320 is 2316740652102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511620 + ... + 6364979.

It is an arithmetic number, because the mean of its divisors is an integer number (488539451250).

Almost surely, 220125604761320 is an apocalyptic number.

20125604761320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20125604761320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31266524880000).

20125604761320 is an abundant number, since it is smaller than the sum of its proper divisors (42407444998680).

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

20125604761320 is an equidigital number, since it uses as much as digits as its factorization.

20125604761320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6876700 (or 6876638 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 20125604761320 in words is "twenty trillion, one hundred twenty-five billion, six hundred four million, seven hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 841 870 1160 1682 1740 2523 3364 3480 4205 5046 6728 8410 10092 12615 16820 20184 24389 25230 33640 48778 50460 73167 97556 100920 121945 146334 195112 243890 292668 365835 487780 585336 731670 975560 1463340 2926680 6876599 13753198 20629797 27506396 34382995 41259594 55012792 68765990 82519188 103148985 137531980 165038376 199421371 206297970 275063960 398842742 412595940 598264113 797685484 825191880 997106855 1196528226 1595370968 1994213710 2393056452 2991320565 3988427420 4786112904 5783219759 5982641130 7976854840 11566439518 11965282260 17349659277 23132879036 23930564520 28916098795 34699318554 46265758072 57832197590 69398637108 86748296385 115664395180 138797274216 167713373011 173496592770 231328790360 335426746022 346993185540 503140119033 670853492044 693986371080 838566865055 1006280238066 1341706984088 1677133730110 2012560476132 2515700595165 3354267460220 4025120952264 5031401190330 6708534920440 10062802380660 20125604761320