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10520705024 = 2117172353
BaseRepresentation
bin10011100110001010…
…10011100000000000
31000011012120012010122
421303011103200000
5133021300030044
64455543115412
7521466342254
oct116305234000
930135505118
1010520705024
114509733445
122057442b68
13cb884185b
1471b388264
15418965dee
hex273153800

10520705024 has 48 divisors (see below), whose sum is σ = 21332853360. Its totient is φ = 5186191360.

The previous prime is 10520705003. The next prime is 10520705033. The reversal of 10520705024 is 42050702501.

It is a super-2 number, since 2×105207050242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10520704984 and 10520705002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 109232 + ... + 181584.

It is an arithmetic number, because the mean of its divisors is an integer number (444434445).

Almost surely, 210520705024 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 10520705024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10666426680).

10520705024 is an abundant number, since it is smaller than the sum of its proper divisors (10812148336).

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

10520705024 is an frugal number, since it uses more digits than its factorization.

10520705024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72446 (or 72426 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The spelling of 10520705024 in words is "ten billion, five hundred twenty million, seven hundred five thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 512 568 1024 1136 2048 2272 4544 9088 18176 36352 72353 72704 144706 145408 289412 578824 1157648 2315296 4630592 5137063 9261184 10274126 18522368 20548252 37044736 41096504 74089472 82193008 148178944 164386016 328772032 657544064 1315088128 2630176256 5260352512 10520705024