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290511708020 = 225312276773049
BaseRepresentation
bin1000011101000111101…
…10001101111101110100
31000202212021000212001122
410032203312031331310
514224431444124040
6341243110043112
726663102526452
oct4164366157564
91022767025048
10290511708020
11102229316086
1248377949498
132151a165661
14100bcd419d2
1578546cd1b5
hex43a3d8df74

290511708020 has 96 divisors (see below), whose sum is σ = 633670732800. Its totient is φ = 111758699520.

The previous prime is 290511708013. The next prime is 290511708029. The reversal of 290511708020 is 20807115092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290511708029) 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, 95279456 + ... + 95282504.

It is an arithmetic number, because the mean of its divisors is an integer number (6600736800).

Almost surely, 2290511708020 is an apocalyptic number.

290511708020 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 290511708020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316835366400).

290511708020 is an abundant number, since it is smaller than the sum of its proper divisors (343159024780).

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

290511708020 is a wasteful number, since it uses less digits than its factorization.

290511708020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The spelling of 290511708020 in words is "two hundred ninety billion, five hundred eleven million, seven hundred eight thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 227 310 454 620 677 908 1135 1354 2270 2708 3049 3385 4540 6098 6770 7037 12196 13540 14074 15245 20987 28148 30490 35185 41974 60980 70370 83948 94519 104935 140740 153679 189038 209870 307358 378076 419740 472595 614716 692123 768395 945190 1384246 1536790 1890380 2064173 2768492 3073580 3460615 4128346 4764049 6921230 8256692 9528098 10320865 13842460 19056196 20641730 21455813 23820245 41283460 42911626 47640490 63989363 85823252 95280980 107279065 127978726 214558130 255957452 319946815 429116260 468567271 639893630 937134542 1279787260 1874269084 2342836355 4685672710 9371345420 14525585401 29051170802 58102341604 72627927005 145255854010 290511708020