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21150411045552 = 24321018391733297
BaseRepresentation
bin1001100111100011101101…
…01111001011101010110000
32202212221220111210201111200
410303301312233023222300
510233012020211424202
6112552210435211200
74312031621406465
oct463616657135260
982787814721450
1021150411045552
116814925710748
122457111a46b00
13ba5624039a39
1453198489366c
1526a286322e1c
hex133c76bcbab0

21150411045552 has 120 divisors (see below), whose sum is σ = 59849115973920. Its totient is φ = 6972009830400.

The previous prime is 21150411045527. The next prime is 21150411045559. The reversal of 21150411045552 is 25554011405112.

21150411045552 is a `hidden beast` number, since 2 + 1 + 1 + 50 + 4 + 1 + 10 + 45 + 552 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21150411045559) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11335768 + ... + 13069064.

It is an arithmetic number, because the mean of its divisors is an integer number (498742633116).

Almost surely, 221150411045552 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 21150411045552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29924557986960).

21150411045552 is an abundant number, since it is smaller than the sum of its proper divisors (38698704928368).

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

21150411045552 is a wasteful number, since it uses less digits than its factorization.

21150411045552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734251 (or 1734242 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 21150411045552 in words is "twenty-one trillion, one hundred fifty billion, four hundred eleven million, forty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 839 909 1212 1616 1678 1818 2424 2517 3356 3636 4848 5034 6712 7272 7551 10068 13424 14544 15102 20136 30204 40272 60408 84739 120816 169478 254217 338956 508434 677912 762651 1016868 1355824 1525302 1733297 2033736 3050604 3466594 4067472 5199891 6101208 6933188 10399782 12202416 13866376 15599673 20799564 27732752 31199346 41599128 62398692 83198256 124797384 175062997 249594768 350125994 525188991 700251988 1050377982 1400503976 1454236183 1575566973 2100755964 2801007952 2908472366 3151133946 4201511928 4362708549 5816944732 6302267892 8403023856 8725417098 11633889464 12604535784 13088125647 17450834196 23267778928 25209071568 26176251294 34901668392 52352502588 69803336784 104705005176 146877854483 209410010352 293755708966 440633563449 587511417932 881267126898 1175022835864 1321900690347 1762534253796 2350045671728 2643801380694 3525068507592 5287602761388 7050137015184 10575205522776 21150411045552