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1245432400032 = 2532337113134909
BaseRepresentation
bin10010000111111001100…
…011100100100010100000
311102001200022210011101010
4102013321203210202200
5130401121143300112
62352051014340520
7155656655505552
oct22077143444240
94361608704333
101245432400032
11440204137737
1218145895a740
139059cc72952
14443ca3934d2
15225e358c63c
hex121f98e48a0

1245432400032 has 192 divisors, whose sum is σ = 3534633365760. Its totient is φ = 382940135424.

The previous prime is 1245432400007. The next prime is 1245432400033. The reversal of 1245432400032 is 2300042345421.

It is a super-2 number, since 2×12454324000322 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1245432400033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9164194 + ... + 9299102.

It is an arithmetic number, because the mean of its divisors is an integer number (18409548780).

Almost surely, 21245432400032 is an apocalyptic number.

1245432400032 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 1245432400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767316682880).

1245432400032 is an abundant number, since it is smaller than the sum of its proper divisors (2289200965728).

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

1245432400032 is a wasteful number, since it uses less digits than its factorization.

1245432400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135095 (or 135087 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 1245432400032 its reverse (2300042345421), we get a palindrome (3545474745453).

The spelling of 1245432400032 in words is "one trillion, two hundred forty-five billion, four hundred thirty-two million, four hundred thousand, thirty-two".