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20996648001 = 327379007571
BaseRepresentation
bin10011100011011111…
…110110110001000001
32000012021220020021200
4103203133312301001
5321000120214001
613351251011413
71342213364130
oct234337666101
960167806250
1020996648001
1189a507345a
12409b899b69
131c98010194
1410327dd917
1582d4d9086
hex4e37f6c41

20996648001 has 24 divisors (see below), whose sum is σ = 35597924544. Its totient is φ = 11673810720.

The previous prime is 20996647967. The next prime is 20996648009. The reversal of 20996648001 is 10084669902.

It is a happy number.

20996648001 is a `hidden beast` number, since 20 + 99 + 66 + 480 + 0 + 1 = 666.

It is not a de Polignac number, because 20996648001 - 227 = 20862430273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20996648009) 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 23 ways as a sum of consecutive naturals, for example, 4501455 + ... + 4506116.

It is an arithmetic number, because the mean of its divisors is an integer number (1483246856).

Almost surely, 220996648001 is an apocalyptic number.

20996648001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20996648001 is a deficient number, since it is larger than the sum of its proper divisors (14601276543).

20996648001 is a wasteful number, since it uses less digits than its factorization.

20996648001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9007621 (or 9007618 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 20996648001 in words is "twenty billion, nine hundred ninety-six million, six hundred forty-eight thousand, one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 9007571 27022713 63052997 81068139 189158991 333280127 567476973 999840381 2332960889 2999521143 6998882667 20996648001