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2920753493760 = 28352333264433
BaseRepresentation
bin101010100000001010011…
…110010111011100000000
3101100012222022222122120110
4222200022132113130000
5340323200343300020
610113435311511320
7421005665032224
oct52401236273400
911305868878513
102920753493760
11a26759226713
123b208a528540
1318256c846bab
14a151825c784
1550e974b28e0
hex2a80a797700

2920753493760 has 144 divisors (see below), whose sum is σ = 9368194346784. Its totient is φ = 775524581376.

The previous prime is 2920753493743. The next prime is 2920753493783. The reversal of 2920753493760 is 673943570292.

It is a super-2 number, since 2×29207534937602 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2920753493760.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 737497 + ... + 2526936.

It is an arithmetic number, because the mean of its divisors is an integer number (65056905186).

Almost surely, 22920753493760 is an apocalyptic number.

2920753493760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2920753493760 is an abundant number, since it is smaller than the sum of its proper divisors (6447440853024).

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

2920753493760 is a wasteful number, since it uses less digits than its factorization.

2920753493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264690 (or 3264676 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 57.

The spelling of 2920753493760 in words is "two trillion, nine hundred twenty billion, seven hundred fifty-three million, four hundred ninety-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 233 240 256 320 384 466 480 640 699 768 932 960 1165 1280 1398 1864 1920 2330 2796 3495 3728 3840 4660 5592 6990 7456 9320 11184 13980 14912 18640 22368 27960 29824 37280 44736 55920 59648 74560 89472 111840 149120 178944 223680 298240 447360 894720 3264433 6528866 9793299 13057732 16322165 19586598 26115464 32644330 39173196 48966495 52230928 65288660 78346392 97932990 104461856 130577320 156692784 195865980 208923712 261154640 313385568 391731960 417847424 522309280 626771136 760612889 783463920 835694848 1044618560 1253542272 1521225778 1566927840 2089237120 2281838667 2507084544 3042451556 3133855680 3803064445 4178474240 4563677334 6084903112 6267711360 7606128890 9127354668 11409193335 12169806224 12535422720 15212257780 18254709336 22818386670 24339612448 30424515560 36509418672 45636773340 48679224896 60849031120 73018837344 91273546680 97358449792 121698062240 146037674688 182547093360 194716899584 243396124480 292075349376 365094186720 486792248960 584150698752 730188373440 973584497920 1460376746880 2920753493760