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10332904064 = 27719606961
BaseRepresentation
bin10011001111110001…
…11001101010000000
3222200010011220122112
421213320321222000
5132130210412224
64425153554452
7514026143510
oct114770715200
928603156575
1010332904064
11442272283a
122004575a28
13c88969022
1470045d840
1540721b30e
hex267e39a80

10332904064 has 64 divisors (see below), whose sum is σ = 24764049600. Its totient is φ = 4195307520.

The previous prime is 10332904051. The next prime is 10332904069. The reversal of 10332904064 is 46040923301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10332904064.

It is not an unprimeable number, because it can be changed into a prime (10332904069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286457 + ... + 320504.

It is an arithmetic number, because the mean of its divisors is an integer number (386938275).

Almost surely, 210332904064 is an apocalyptic number.

10332904064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10332904064 is an abundant number, since it is smaller than the sum of its proper divisors (14431145536).

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

10332904064 is an equidigital number, since it uses as much as digits as its factorization.

10332904064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607001 (or 606989 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 10332904064 in words is "ten billion, three hundred thirty-two million, nine hundred four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 4256 8512 17024 606961 1213922 2427844 4248727 4855688 8497454 9711376 11532259 16994908 19422752 23064518 33989816 38845504 46129036 67979632 77691008 80725813 92258072 135959264 161451626 184516144 271918528 322903252 369032288 543837056 645806504 738064576 1291613008 1476129152 2583226016 5166452032 10332904064