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20276219376 = 2438741673
BaseRepresentation
bin10010111000100011…
…101000110111110000
31221100002021200000000
4102320203220313300
5313011203010001
613151553430000
71315315010130
oct227043506760
957302250000
1020276219376
1186654407a6
123b1a56b300
131bb199a55a
14da4c68ac0
157da12da86
hex4b88e8df0

20276219376 has 360 divisors, whose sum is σ = 69087598944. Its totient is φ = 5643509760.

The previous prime is 20276219371. The next prime is 20276219399. The reversal of 20276219376 is 67391267202.

20276219376 is a `hidden beast` number, since 2 + 0 + 276 + 2 + 1 + 9 + 376 = 666.

It is a super-2 number, since 2×202762193762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20276219371) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 30127776 + ... + 30128448.

Almost surely, 220276219376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20276219376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34543799472).

20276219376 is an abundant number, since it is smaller than the sum of its proper divisors (48811379568).

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

20276219376 is an frugal number, since it uses more digits than its factorization.

20276219376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 20276219376 in words is "twenty billion, two hundred seventy-six million, two hundred nineteen thousand, three hundred seventy-six".