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20835465612900 = 22352671203786117
BaseRepresentation
bin1001011110011001000101…
…00001101100111001100100
32201202211222102102001101220
410233030202201230321210
510212332013144103100
6112151403013420340
74250212155404151
oct457144241547144
981684872361356
1020835465612900
1167032a9182714
12240607733a6b0
13b81a11a89373
14520628893228
15261ea1a2caa0
hex12f32286ce64

20835465612900 has 144 divisors (see below), whose sum is σ = 61189501079616. Its totient is φ = 5472678689280.

The previous prime is 20835465612893. The next prime is 20835465612919. The reversal of 20835465612900 is 921656453802.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241900642 + ... + 241986758.

Almost surely, 220835465612900 is an apocalyptic number.

20835465612900 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 20835465612900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30594750539808).

20835465612900 is an abundant number, since it is smaller than the sum of its proper divisors (40354035466716).

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

20835465612900 is a wasteful number, since it uses less digits than its factorization.

20835465612900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98238 (or 98231 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 20835465612900 in words is "twenty trillion, eight hundred thirty-five billion, four hundred sixty-five million, six hundred twelve thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1340 1675 2010 3350 4020 5025 6700 10050 12037 20100 24074 36111 48148 60185 72222 86117 120370 144444 172234 180555 240740 258351 300925 344468 361110 430585 516702 601850 722220 806479 861170 902775 1033404 1203700 1291755 1612958 1722340 1805550 2152925 2419437 2583510 3225916 3611100 4032395 4305850 4838874 5167020 5769839 6458775 8064790 8611700 9677748 11539678 12097185 12917550 16129580 17309517 20161975 23079356 24194370 25835100 28849195 34619034 40323950 48388740 57698390 60485925 69238068 80647900 86547585 115396780 120971850 144245975 173095170 241943700 288491950 346190340 432737925 576983900 865475850 1036590329 1730951700 2073180658 3109770987 4146361316 5182951645 6219541974 10365903290 12439083948 15548854935 20731806580 25914758225 31097709870 51829516450 62195419740 69451552043 77744274675 103659032900 138903104086 155488549350 208354656129 277806208172 310977098700 347257760215 416709312258 694515520430 833418624516 1041773280645 1389031040860 1736288801075 2083546561290 3472577602150 4167093122580 5208866403225 6945155204300 10417732806450 20835465612900