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1820455693656 = 23329294972
BaseRepresentation
bin11010011111011011100…
…111010110110101011000
320110000220200120001220020
4122133123213112311120
5214311243124144111
63512150015230440
7245344406036625
oct32373347266530
96400820501806
101820455693656
11642061864036
12254996b18420
1310288c161252
14641793d534c
153254a7d9906
hex1a7db9d6d58

1820455693656 has 72 divisors (see below), whose sum is σ = 4713983015820. Its totient is φ = 585832093952.

The previous prime is 1820455693649. The next prime is 1820455693657. The reversal of 1820455693656 is 6563965540281.

It is a self number, because there is not a number n which added to its sum of digits gives 1820455693656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820455693657) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 191682700 + ... + 191692196.

Almost surely, 21820455693656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1820455693656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356991507910).

1820455693656 is an abundant number, since it is smaller than the sum of its proper divisors (2893527322164).

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

1820455693656 is an frugal number, since it uses more digits than its factorization.

1820455693656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19061 (or 9531 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 60.

The spelling of 1820455693656 in words is "one trillion, eight hundred twenty billion, four hundred fifty-five million, six hundred ninety-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 841 1682 2523 3364 5046 6728 9497 10092 18994 20184 28491 37988 56982 75976 113964 227928 275413 550826 826239 1101652 1652478 2203304 3304956 6609912 7986977 15973954 23960931 31947908 47921862 63895816 90193009 95843724 180386018 191687448 270579027 360772036 541158054 721544072 1082316108 2164632216 2615597261 5231194522 7846791783 10462389044 15693583566 20924778088 31387167132 62774334264 75852320569 151704641138 227556961707 303409282276 455113923414 606818564552 910227846828 1820455693656