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1052273192704 = 28191459148279
BaseRepresentation
bin11110101000000000101…
…11101010111100000000
310201121002201122202021021
433110000113222330000
5114220023414131304
62123224014235224
7136011211362526
oct17240027527400
93647081582237
101052273192704
113762a286a2a8
1214bb301b5b14
13782c8c859b6
1438d04a28316
151c58a984a54
hexf5005eaf00

1052273192704 has 72 divisors (see below), whose sum is σ = 2212515536000. Its totient is φ = 498100202496.

The previous prime is 1052273192701. The next prime is 1052273192759. The reversal of 1052273192704 is 4072913722501.

It is a super-2 number, since 2×10522731927042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052273192701) by changing a digit.

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, 7022437 + ... + 7170715.

Almost surely, 21052273192704 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 1052273192704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106257768000).

1052273192704 is an abundant number, since it is smaller than the sum of its proper divisors (1160242343296).

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

1052273192704 is a wasteful number, since it uses less digits than its factorization.

1052273192704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149773 (or 149759 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 1052273192704 in words is "one trillion, fifty-two billion, two hundred seventy-three million, one hundred ninety-two thousand, seven hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1216 1459 2432 2918 4864 5836 11672 23344 27721 46688 55442 93376 110884 148279 186752 221768 296558 373504 443536 593116 887072 1186232 1774144 2372464 2817301 3548288 4744928 5634602 7096576 9489856 11269204 18979712 22538408 37959424 45076816 90153632 180307264 216339061 360614528 432678122 721229056 865356244 1730712488 3461424976 4110442159 6922849952 8220884318 13845699904 16441768636 27691399808 32883537272 55382799616 65767074544 131534149088 263068298176 526136596352 1052273192704