Search a number
-
+
2010303698352 = 2431923347276191
BaseRepresentation
bin11101010000001111011…
…100000001010110110000
321010011221112001221220120
4131100033130001112300
5230414100221321402
64135304253010240
7265145125331655
oct35201734012660
97104845057816
102010303698352
11705624035974
1228573a783980
13117756145ac1
146d4290a9c2c
153745c87a3bc
hex1d40f7015b0

2010303698352 has 160 divisors (see below), whose sum is σ = 5720753848320. Its totient is φ = 605479184640.

The previous prime is 2010303698321. The next prime is 2010303698353. The reversal of 2010303698352 is 2538963030102.

It is not an unprimeable number, because it can be changed into a prime (2010303698353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7140577 + ... + 7416767.

It is an arithmetic number, because the mean of its divisors is an integer number (35754711552).

Almost surely, 22010303698352 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 2010303698352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860376924160).

2010303698352 is an abundant number, since it is smaller than the sum of its proper divisors (3710450149968).

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

2010303698352 is a wasteful number, since it uses less digits than its factorization.

2010303698352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276591 (or 276585 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 2010303698352 in words is "two trillion, ten billion, three hundred three million, six hundred ninety-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 152 184 228 276 304 347 368 437 456 552 694 874 912 1041 1104 1311 1388 1748 2082 2622 2776 3496 4164 5244 5552 6593 6992 7981 8328 10488 13186 15962 16656 19779 20976 23943 26372 31924 39558 47886 52744 63848 79116 95772 105488 127696 151639 158232 191544 276191 303278 316464 383088 454917 552382 606556 828573 909834 1104764 1213112 1657146 1819668 2209528 2426224 3314292 3639336 4419056 5247629 6352393 6628584 7278672 10495258 12704786 13257168 15742887 19057179 20990516 25409572 31485774 38114358 41981032 50819144 62971548 76228716 83962064 95838277 101638288 120695467 125943096 152457432 191676554 241390934 251886192 287514831 304914864 362086401 383353108 482781868 575029662 724172802 766706216 965563736 1150059324 1448345604 1533412432 1820927263 1931127472 2204280371 2300118648 2896691208 3641854526 4408560742 4600237296 5462781789 5793382416 6612841113 7283709052 8817121484 10925563578 13225682226 14567418104 17634242968 21851127156 26451364452 29134836208 35268485936 41881327049 43702254312 52902728904 83762654098 87404508624 105805457808 125643981147 167525308196 251287962294 335050616392 502575924588 670101232784 1005151849176 2010303698352