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210923102464 = 287311399881
BaseRepresentation
bin1100010001101111111…
…1110010000100000000
3202011102121000210010221
43010123333302010000
511423432303234324
6240521410032424
721144604534534
oct3043377620400
9664377023127
10210923102464
11814a7657808
1234a65878714
1316b75331609
14a2cca95bc4
1557473c40e4
hex311bff2100

210923102464 has 72 divisors (see below), whose sum is σ = 430570926072. Its totient is φ = 103095336960.

The previous prime is 210923102443. The next prime is 210923102497. The reversal of 210923102464 is 464201329012.

It can be written as a sum of positive squares in 4 ways, for example, as 44524376064 + 166398726400 = 211008^2 + 407920^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2061804 + ... + 2161684.

It is an arithmetic number, because the mean of its divisors is an integer number (5980151751).

Almost surely, 2210923102464 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 210923102464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215285463036).

210923102464 is an abundant number, since it is smaller than the sum of its proper divisors (219647823608).

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

210923102464 is an equidigital number, since it uses as much as digits as its factorization.

210923102464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100083 (or 100069 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 210923102464 in words is "two hundred ten billion, nine hundred twenty-three million, one hundred two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 73 113 128 146 226 256 292 452 584 904 1168 1808 2336 3616 4672 7232 8249 9344 14464 16498 18688 28928 32996 65992 99881 131984 199762 263968 399524 527936 799048 1055872 1598096 2111744 3196192 6392384 7291313 11286553 12784768 14582626 22573106 25569536 29165252 45146212 58330504 90292424 116661008 180584848 233322016 361169696 466644032 722339392 823918369 933288064 1444678784 1647836738 1866576128 2889357568 3295673476 6591346952 13182693904 26365387808 52730775616 105461551232 210923102464