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2021048355000 = 23354191705427
BaseRepresentation
bin11101011010001111110…
…111101000100010111000
321011012200100001001220210
4131122033313220202320
5231103101334330000
64144242400151120
7266005314366363
oct35321767504270
97135610031823
102021048355000
1170a1381204a4
122878390084a0
131187791a98bc
146db680ad0da
153788accc350
hex1d68fde88b8

2021048355000 has 160 divisors (see below), whose sum is σ = 6346820367360. Its totient is φ = 536123760000.

The previous prime is 2021048354999. The next prime is 2021048355013. The reversal of 2021048355000 is 5538401202.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 39 ways as a sum of consecutive naturals, for example, 2512287 + ... + 3217713.

It is an arithmetic number, because the mean of its divisors is an integer number (39667627296).

Almost surely, 22021048355000 is an apocalyptic number.

2021048355000 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 2021048355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173410183680).

2021048355000 is an abundant number, since it is smaller than the sum of its proper divisors (4325772012360).

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

2021048355000 is a wasteful number, since it uses less digits than its factorization.

2021048355000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705647 (or 705628 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 2021048355000 in words is "two trillion, twenty-one billion, forty-eight million, three hundred fifty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 191 200 250 300 375 382 500 573 600 625 750 764 955 1000 1146 1250 1500 1528 1875 1910 2292 2500 2865 3000 3750 3820 4584 4775 5000 5730 7500 7640 9550 11460 14325 15000 19100 22920 23875 28650 38200 47750 57300 71625 95500 114600 119375 143250 191000 238750 286500 358125 477500 573000 705427 716250 955000 1410854 1432500 2116281 2821708 2865000 3527135 4232562 5643416 7054270 8465124 10581405 14108540 16930248 17635675 21162810 28217080 35271350 42325620 52907025 70542700 84651240 88178375 105814050 134736557 141085400 176356750 211628100 264535125 269473114 352713500 404209671 423256200 440891875 529070250 538946228 673682785 705427000 808419342 881783750 1058140500 1077892456 1322675625 1347365570 1616838684 1763567500 2021048355 2116281000 2645351250 2694731140 3233677368 3368413925 3527135000 4042096710 5290702500 5389462280 6736827850 8084193420 10105241775 10581405000 13473655700 16168386840 16842069625 20210483550 26947311400 33684139250 40420967100 50526208875 67368278500 80841934200 84210348125 101052417750 134736557000 168420696250 202104835500 252631044375 336841392500 404209671000 505262088750 673682785000 1010524177500 2021048355000