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210244585344 = 2732397245411
BaseRepresentation
bin1100001111001110001…
…1011100011110000000
3202002200022021112122020
43003303203130132000
511421040103212334
6240330211041440
721122025326523
oct3036343343600
9662608245566
10210244585344
1181189650862
12348b65a0280
1316a978a45b1
14a266910bba
155707a46e49
hex30f38dc780

210244585344 has 128 divisors (see below), whose sum is σ = 588753204480. Its totient is φ = 66343157760.

The previous prime is 210244585289. The next prime is 210244585379. The reversal of 210244585344 is 443585442012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 210244585296 and 210244585305.

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, 733999 + ... + 979409.

It is an arithmetic number, because the mean of its divisors is an integer number (4599634410).

Almost surely, 2210244585344 is an apocalyptic number.

210244585344 is a gapful number since it is divisible by the number (24) 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 210244585344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294376602240).

210244585344 is an abundant number, since it is smaller than the sum of its proper divisors (378508619136).

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

210244585344 is a wasteful number, since it uses less digits than its factorization.

210244585344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245548 (or 245536 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 210244585344 in words is "two hundred ten billion, two hundred forty-four million, five hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 97 128 138 184 192 194 276 291 368 384 388 552 582 736 776 1104 1164 1472 1552 2208 2231 2328 2944 3104 4416 4462 4656 6208 6693 8832 8924 9312 12416 13386 17848 18624 26772 35696 37248 53544 71392 107088 142784 214176 245411 285568 428352 490822 736233 856704 981644 1472466 1963288 2944932 3926576 5644453 5889864 7853152 11288906 11779728 15706304 16933359 22577812 23559456 23804867 31412608 33866718 45155624 47118912 47609734 67733436 71414601 90311248 94237824 95219468 135466872 142829202 180622496 190438936 270933744 285658404 361244992 380877872 541867488 547511941 571316808 722489984 761755744 1083734976 1095023882 1142633616 1523511488 1642535823 2167469952 2190047764 2285267232 3047022976 3285071646 4380095528 4570534464 6570143292 8760191056 9141068928 13140286584 17520382112 26280573168 35040764224 52561146336 70081528448 105122292672 210244585344