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10369911552 = 2837211134147
BaseRepresentation
bin10011010100001100…
…00100101100000000
3222202200211002101020
421222012010230000
5132214144132202
64432555105440
7514655536200
oct115206045400
928680732336
1010369911552
1144415aa040
122014a42280
13c93525750
14705334400
1540a5cb5bc
hex26a184b00

10369911552 has 864 divisors, whose sum is σ = 39459861504. Its totient is φ = 2374041600.

The previous prime is 10369911457. The next prime is 10369911557. The reversal of 10369911552 is 25511996301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10369911557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220636393 + ... + 220636439.

It is an arithmetic number, because the mean of its divisors is an integer number (45671136).

Almost surely, 210369911552 is an apocalyptic number.

10369911552 is a gapful number since it is divisible by the number (12) 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 10369911552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19729930752).

10369911552 is an abundant number, since it is smaller than the sum of its proper divisors (29089949952).

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

10369911552 is a wasteful number, since it uses less digits than its factorization.

10369911552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 42.

The spelling of 10369911552 in words is "ten billion, three hundred sixty-nine million, nine hundred eleven thousand, five hundred fifty-two".