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20552089600 = 2245272
BaseRepresentation
bin10011001001000000…
…000000000000000000
31222001022101022210201
4103021000000000000
5314042313331400
613235210334544
71325204610400
oct231100000000
958038338721
1020552089600
118797134119
123b96a2a454
131c26b9a283
14dcd75a800
1580447306a
hex4c9000000

20552089600 has 225 divisors, whose sum is σ = 59290679577. Its totient is φ = 7046430720.

The previous prime is 20552089589. The next prime is 20552089603. The reversal of 20552089600 is 698025502.

It is a happy number.

The square root of 20552089600 is 143360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7398752256 + 13153337344 = 86016^2 + 114688^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20552089600.

It is not an unprimeable number, because it can be changed into a prime (20552089603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2936012797 + ... + 2936012803.

Almost surely, 220552089600 is an apocalyptic number.

20552089600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20552089600 is the 143360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20552089600

20552089600 is an abundant number, since it is smaller than the sum of its proper divisors (38738589977).

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

20552089600 is an frugal number, since it uses more digits than its factorization.

20552089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 20552089600 in words is "twenty billion, five hundred fifty-two million, eighty-nine thousand, six hundred".