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2042854664700 = 2235229316774143
BaseRepresentation
bin11101101110100011101…
…000000110100111111100
321020021222001110101020210
4131232203220012213330
5231432231243232300
64202250253112420
7300406562100333
oct35564350064774
97207861411223
102042854664700
11718408223753
1228bb03a88710
1311a842b73535
1470c36230d1a
15382153eb050
hex1dba3a069fc

2042854664700 has 144 divisors (see below), whose sum is σ = 6116488519680. Its totient is φ = 525803201280.

The previous prime is 2042854664693. The next prime is 2042854664737. The reversal of 2042854664700 is 74664582402.

It is a self number, because there is not a number n which added to its sum of digits gives 2042854664700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27515829 + ... + 27589971.

It is an arithmetic number, because the mean of its divisors is an integer number (42475614720).

Almost surely, 22042854664700 is an apocalyptic number.

2042854664700 is a gapful number since it is divisible by the number (20) 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 2042854664700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058244259840).

2042854664700 is an abundant number, since it is smaller than the sum of its proper divisors (4073633854980).

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

2042854664700 is a wasteful number, since it uses less digits than its factorization.

2042854664700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77356 (or 77349 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 2042854664700 in words is "two trillion, forty-two billion, eight hundred fifty-four million, six hundred sixty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 3167 4350 6334 8700 9501 12668 15835 19002 31670 38004 47505 63340 74143 79175 91843 95010 148286 158350 183686 190020 222429 237525 275529 296572 316700 367372 370715 444858 459215 475050 551058 741430 889716 918430 950100 1102116 1112145 1377645 1482860 1836860 1853575 2150147 2224290 2296075 2755290 3707150 4300294 4448580 4592150 5510580 5560725 6450441 6888225 7414300 8600588 9184300 10750735 11121450 12900882 13776450 21501470 22242900 25801764 27552900 32252205 43002940 53753675 64504410 107507350 129008820 161261025 215014700 234810881 322522050 469621762 645044100 704432643 939243524 1174054405 1408865286 2348108810 2817730572 3522163215 4696217620 5870272025 6809515549 7044326430 11740544050 13619031098 14088652860 17610816075 20428546647 23481088100 27238062196 34047577745 35221632150 40857093294 68095155490 70443264300 81714186588 102142733235 136190310980 170237888725 204285466470 340475777450 408570932940 510713666175 680951554900 1021427332350 2042854664700