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10245442563261 = 3219673923227951
BaseRepresentation
bin1001010100010111001111…
…1101101110110010111101
31100021110021111201100001100
42111011303331232302331
52320330131244011021
633442405155003313
72105131421613423
oct225056375566275
940243244640040
1010245442563261
1132a0082257624
121195775b99539
135941aac80589
14275c4c563113
1512b792ac5626
hex95173f6ecbd

10245442563261 has 48 divisors (see below), whose sum is σ = 15814470896640. Its totient is φ = 6372573847200.

The previous prime is 10245442563233. The next prime is 10245442563311. The reversal of 10245442563261 is 16236524454201.

It is a happy number.

10245442563261 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 5 + 4 + 4 + 2 + 5 + 632 + 6 + 1 = 666.

It is not a de Polignac number, because 10245442563261 - 210 = 10245442562237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10245442563761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44831836 + ... + 45059786.

It is an arithmetic number, because the mean of its divisors is an integer number (329468143680).

Almost surely, 210245442563261 is an apocalyptic number.

It is an amenable number.

10245442563261 is a deficient number, since it is larger than the sum of its proper divisors (5569028333379).

10245442563261 is a wasteful number, since it uses less digits than its factorization.

10245442563261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231966 (or 231963 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 10245442563261 in words is "ten trillion, two hundred forty-five billion, four hundred forty-two million, five hundred sixty-three thousand, two hundred sixty-one".

Divisors: 1 3 9 19 57 67 171 201 603 1273 3819 3923 11457 11769 35307 74537 223611 227951 262841 670833 683853 788523 2051559 2365569 4331069 4993979 12993207 14981937 15272717 38979621 44945811 45818151 137454453 290181623 870544869 894251773 2611634607 2682755319 8048265957 16990783687 50972351061 59914868791 152917053183 179744606373 539233819119 1138382507029 3415147521087 10245442563261