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10541251152 = 243273203133
BaseRepresentation
bin10011101000100111…
…01011101001010000
31000012122020001010100
421310103223221100
5133042030014102
64501555332400
7522136104435
oct116423535120
930178201110
1010541251152
11451a297013
1220622b1100
13cbcb86723
1471ddb5b8c
1541a673a1c
hex2744eba50

10541251152 has 30 divisors (see below), whose sum is σ = 29500863002. Its totient is φ = 3513750336.

The previous prime is 10541251111. The next prime is 10541251153. The reversal of 10541251152 is 25115214501.

It is a happy number.

10541251152 is a `hidden beast` number, since 1 + 0 + 541 + 2 + 5 + 115 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5996334096 + 4544917056 = 77436^2 + 67416^2 .

It is a super-2 number, since 2×105412511522 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10541251153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36601423 + ... + 36601710.

Almost surely, 210541251152 is an apocalyptic number.

10541251152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10541251152 is an abundant number, since it is smaller than the sum of its proper divisors (18959611850).

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

10541251152 is a wasteful number, since it uses less digits than its factorization.

10541251152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73203147 (or 73203138 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 10541251152 its reverse (25115214501), we get a palindrome (35656465653).

The spelling of 10541251152 in words is "ten billion, five hundred forty-one million, two hundred fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 73203133 146406266 219609399 292812532 439218798 585625064 658828197 878437596 1171250128 1317656394 1756875192 2635312788 3513750384 5270625576 10541251152