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820196503776 = 25331373023193
BaseRepresentation
bin10111110111101111000…
…01010111000011100000
32220102001220102102202000
423323313201113003200
5101414230301110101
61424443145324000
7113154143152146
oct13736741270340
92812056372660
10820196503776
112969305a8a31
12112b62196600
135c462286120
142b9aa79d596
1516506426486
hexbef78570e0

820196503776 has 96 divisors (see below), whose sum is σ = 2576258284320. Its totient is φ = 252368151552.

The previous prime is 820196503759. The next prime is 820196503799. The reversal of 820196503776 is 677305691028.

820196503776 is a `hidden beast` number, since 8 + 201 + 9 + 65 + 0 + 377 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36500365 + ... + 36522828.

It is an arithmetic number, because the mean of its divisors is an integer number (26836023795).

Almost surely, 2820196503776 is an apocalyptic number.

It is an amenable number.

820196503776 is an abundant number, since it is smaller than the sum of its proper divisors (1756061780544).

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

820196503776 is a wasteful number, since it uses less digits than its factorization.

820196503776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73023225 (or 73023211 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 820196503776 in words is "eight hundred twenty billion, one hundred ninety-six million, five hundred three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 73023193 146046386 219069579 292092772 438139158 584185544 657208737 876278316 949301509 1168371088 1314417474 1752556632 1898603018 1971626211 2336742176 2628834948 2847904527 3505113264 3797206036 3943252422 5257669896 5695809054 7010226528 7594412072 7886504844 8543713581 10515339792 11391618108 15188824144 15773009688 17087427162 21030679584 22783236216 25631140743 30377648288 31546019376 34174854324 45566472432 51262281486 63092038752 68349708648 91132944864 102524562972 136699417296 205049125944 273398834592 410098251888 820196503776