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16000993152 = 27334629917
BaseRepresentation
bin11101110011011101…
…11100011110000000
31112022010200200011000
432321232330132000
5230232223240102
611203432452000
71104343124544
oct167156743600
945263620130
1016000993152
116871163a91
12312684a000
1316800432b1
14abb14da24
15639b4001c
hex3b9bbc780

16000993152 has 64 divisors (see below), whose sum is σ = 47225163600. Its totient is φ = 5333663232.

The previous prime is 16000993133. The next prime is 16000993153. The reversal of 16000993152 is 25139900061.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16000993153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2311503 + ... + 2318414.

Almost surely, 216000993152 is an apocalyptic number.

16000993152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16000993152 is an abundant number, since it is smaller than the sum of its proper divisors (31224170448).

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

16000993152 is an equidigital number, since it uses as much as digits as its factorization.

16000993152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629940 (or 4629922 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 16000993152 in words is "sixteen billion, nine hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 4629917 9259834 13889751 18519668 27779502 37039336 41669253 55559004 74078672 83338506 111118008 125007759 148157344 166677012 222236016 250015518 296314688 333354024 444472032 500031036 592629376 666708048 888944064 1000062072 1333416096 1777888128 2000124144 2666832192 4000248288 5333664384 8000496576 16000993152