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2010445302420 = 2232571557282427
BaseRepresentation
bin11101010000010111111…
…000001100101010010100
321010012022101112012011200
4131100113320030222110
5230414342444134140
64135330312032500
7265151465052552
oct35202770145224
97105271465150
102010445302420
11705696a63125
1228577a092730
131177795952a9
146d43dc0abd2
1537469eec030
hex1d417e0ca94

2010445302420 has 144 divisors (see below), whose sum is σ = 6195367721088. Its totient is φ = 527616956160.

The previous prime is 2010445302419. The next prime is 2010445302461. The reversal of 2010445302420 is 242035440102.

2010445302420 is a `hidden beast` number, since 2 + 0 + 104 + 4 + 530 + 2 + 4 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6977247 + ... + 7259673.

It is an arithmetic number, because the mean of its divisors is an integer number (43023386952).

Almost surely, 22010445302420 is an apocalyptic number.

2010445302420 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 2010445302420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097683860544).

2010445302420 is an abundant number, since it is smaller than the sum of its proper divisors (4184922418668).

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

2010445302420 is a wasteful number, since it uses less digits than its factorization.

2010445302420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283070 (or 283065 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 2010445302420 in words is "two trillion, ten billion, four hundred forty-five million, three hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 557 639 710 852 1065 1114 1278 1420 1671 2130 2228 2556 2785 3195 3342 4260 5013 5570 6390 6684 8355 10026 11140 12780 16710 20052 25065 33420 39547 50130 79094 100260 118641 158188 197735 237282 282427 355923 395470 474564 564854 593205 711846 790940 847281 1129708 1186410 1412135 1423692 1694562 1779615 2372820 2541843 2824270 3389124 3559230 4236405 5083686 5648540 7118460 8472810 10167372 12709215 16945620 20052317 25418430 40104634 50836860 60156951 80209268 100261585 120313902 157311839 180470853 200523170 240627804 300784755 314623678 360941706 401046340 471935517 601569510 629247356 721883412 786559195 902354265 943871034 1203139020 1415806551 1573118390 1804708530 1887742068 2359677585 2831613102 3146236780 3609417060 4719355170 5663226204 7079032755 9438710340 11169140569 14158065510 22338281138 28316131020 33507421707 44676562276 55845702845 67014843414 100522265121 111691405690 134029686828 167537108535 201044530242 223382811380 335074217070 402089060484 502611325605 670148434140 1005222651210 2010445302420