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1968153216 = 2735125399
BaseRepresentation
bin111010101001111…
…1010001010000000
312002011102112122120
41311103322022000
513012321400331
6523144204240
766526012011
oct16523721200
95064375576
101968153216
1191aa75707
1246b169680
132549a6903
14149569008
15b7bc1796
hex754fa280

1968153216 has 32 divisors (see below), whose sum is σ = 5227908000. Its totient is φ = 656050944.

The previous prime is 1968153199. The next prime is 1968153221. The reversal of 1968153216 is 6123518691.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×19681532162 = 7747254163302285312, which contains 22 as substring.

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, 2562316 + ... + 2563083.

It is an arithmetic number, because the mean of its divisors is an integer number (163372125).

Almost surely, 21968153216 is an apocalyptic number.

1968153216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1968153216 is an abundant number, since it is smaller than the sum of its proper divisors (3259754784).

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

1968153216 is an equidigital number, since it uses as much as digits as its factorization.

1968153216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5125416 (or 5125404 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 1968153216 is about 44363.8728697124. The cubic root of 1968153216 is about 1253.1978315358.

The spelling of 1968153216 in words is "one billion, nine hundred sixty-eight million, one hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 5125399 10250798 15376197 20501596 30752394 41003192 61504788 82006384 123009576 164012768 246019152 328025536 492038304 656051072 984076608 1968153216