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1902664355641 = 72193210212
BaseRepresentation
bin11011101011111111101…
…000100000111100111001
320201220002221122210112221
4123223333220200330321
5222133124033340031
64014023312204041
7254314540115200
oct33537750407471
96656087583487
101902664355641
11673a084765a5
122688ba539621
1310a560a3b23a
1468137624237
153475cb36a11
hex1baffa20f39

1902664355641 has 27 divisors (see below), whose sum is σ = 2227011951213. Its totient is φ = 1620816099840.

The previous prime is 1902664355639. The next prime is 1902664355671. The reversal of 1902664355641 is 1465534662091.

The square root of 1902664355641 is 1379371.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 66628515625 + 1836035840016 = 258125^2 + 1355004^2 .

It is not a de Polignac number, because 1902664355641 - 21 = 1902664355639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1902664355671) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1863529711 + ... + 1863530731.

It is an arithmetic number, because the mean of its divisors is an integer number (82481924119).

Almost surely, 21902664355641 is an apocalyptic number.

1902664355641 is the 1379371-st square number.

1902664355641 is the 689686-th centered octagonal number.

It is an amenable number.

1902664355641 is a deficient number, since it is larger than the sum of its proper divisors (324347595572).

1902664355641 is an frugal number, since it uses more digits than its factorization.

1902664355641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 52.

The spelling of 1902664355641 in words is "one trillion, nine hundred two billion, six hundred sixty-four million, three hundred fifty-five thousand, six hundred forty-one".

Divisors: 1 7 49 193 1021 1351 7147 9457 37249 50029 197053 260743 1042441 1379371 1825201 7297087 9655597 38031229 51079609 201191113 266218603 1408337791 1863530221 9858364537 38829884809 271809193663 1902664355641