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20696301000 = 23325319127953
BaseRepresentation
bin10011010001100110…
…000111110111001000
31222102100202000122200
4103101212013313020
5314341223113000
613301401320200
71331605440654
oct232146076710
958370660580
1020696301000
1188605822a1
124017196060
131c4aa2046b
141004979a64
15811e5c500
hex4d1987dc8

20696301000 has 384 divisors, whose sum is σ = 74292940800. Its totient is φ = 5181926400.

The previous prime is 20696300951. The next prime is 20696301013. The reversal of 20696301000 is 10369602.

It is a happy number.

20696301000 is a `hidden beast` number, since 20 + 6 + 9 + 630 + 1 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21716524 + ... + 21717476.

It is an arithmetic number, because the mean of its divisors is an integer number (193471200).

Almost surely, 220696301000 is an apocalyptic number.

20696301000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20696301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37146470400).

20696301000 is an abundant number, since it is smaller than the sum of its proper divisors (53596639800).

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

20696301000 is a wasteful number, since it uses less digits than its factorization.

20696301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 20696301000 in words is "twenty billion, six hundred ninety-six million, three hundred one thousand".