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10432120416 = 253108667921
BaseRepresentation
bin10011011011100110…
…11000011001100000
3222221000212121220020
421231303120121200
5132331110323131
64443100313440
7516342363144
oct115563303140
928830777806
1010432120416
114473729523
122031842880
13ca3396c23
1470d6c9224
15410cb8996
hex26dcd8660

10432120416 has 24 divisors (see below), whose sum is σ = 27384316344. Its totient is φ = 3477373440.

The previous prime is 10432120409. The next prime is 10432120453. The reversal of 10432120416 is 61402123401.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 54333865 + ... + 54334056.

It is an arithmetic number, because the mean of its divisors is an integer number (1141013181).

Almost surely, 210432120416 is an apocalyptic number.

10432120416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10432120416 is an abundant number, since it is smaller than the sum of its proper divisors (16952195928).

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

10432120416 is a wasteful number, since it uses less digits than its factorization.

10432120416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108667934 (or 108667926 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10432120416 its reverse (61402123401), we get a palindrome (71834243817).

The spelling of 10432120416 in words is "ten billion, four hundred thirty-two million, one hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 108667921 217335842 326003763 434671684 652007526 869343368 1304015052 1738686736 2608030104 3477373472 5216060208 10432120416