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220041203541552 = 243243172312062351
BaseRepresentation
bin110010000010000001010101…
…110001011110011000110000
31001212002201210210211100100200
4302002001111301132120300
5212320123341101312202
62055553311114315200
764230311102555631
oct6202012561363060
91055081723740320
10220041203541552
1164125a4aa33a68
1220819561a28b00
1395a1a47a89623
143c4a0a0221888
151a68b9b3e6e1c
hexc82055c5e630

220041203541552 has 120 divisors (see below), whose sum is σ = 630167789442048. Its totient is φ = 71637129648000.

The previous prime is 220041203541529. The next prime is 220041203541619. The reversal of 220041203541552 is 255145302140022.

220041203541552 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 41 + 20 + 3 + 5 + 41 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 105663177 + ... + 107725527.

Almost surely, 2220041203541552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220041203541552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315083894721024).

220041203541552 is an abundant number, since it is smaller than the sum of its proper divisors (410126585900496).

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

220041203541552 is a wasteful number, since it uses less digits than its factorization.

220041203541552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079639 (or 2079630 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 220041203541552 its reverse (255145302140022), we get a palindrome (475186505681574).

The spelling of 220041203541552 in words is "two hundred twenty trillion, forty-one billion, two hundred three million, five hundred forty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 6192 17231 34462 51693 68924 103386 137848 155079 206772 275696 310158 413544 620316 740933 827088 1240632 1481866 2062351 2222799 2481264 2963732 4124702 4445598 5927464 6187053 6668397 8249404 8891196 11854928 12374106 13336794 16498808 17782392 18561159 24748212 26673588 32997616 35564784 37122318 49496424 53347176 74244636 88681093 98992848 106694352 148489272 177362186 266043279 296978544 354724372 532086558 709448744 798129837 1064173116 1418897488 1596259674 2128346232 3192519348 4256692464 6385038696 12770077392 35536370081 71072740162 106609110243 142145480324 213218220486 284290960648 319827330729 426436440972 568581921296 639654661458 852872881944 1279309322916 1528063913483 1705745763888 2558618645832 3056127826966 4584191740449 5117237291664 6112255653932 9168383480898 12224511307864 13752575221347 18336766961796 24449022615728 27505150442694 36673533923592 55010300885388 73347067847184 110020601770776 220041203541552