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20552027400 = 23335229373547
BaseRepresentation
bin10011001000111111…
…110000110100001000
31222001022021011111000
4103020333300310020
5314042304334100
613235205135000
71325204231142
oct231077606410
958038234430
1020552027400
1187970a1413
123b969ba460
131c26b77b78
14dcd741c92
1580445e900
hex4c8ff0d08

20552027400 has 384 divisors, whose sum is σ = 75231792000. Its totient is φ = 5147089920.

The previous prime is 20552027383. The next prime is 20552027411. The reversal of 20552027400 is 472025502.

20552027400 is a `hidden beast` number, since 2 + 0 + 55 + 202 + 7 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5792427 + ... + 5795973.

It is an arithmetic number, because the mean of its divisors is an integer number (195916125).

Almost surely, 220552027400 is an apocalyptic number.

20552027400 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 20552027400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37615896000).

20552027400 is an abundant number, since it is smaller than the sum of its proper divisors (54679764600).

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

20552027400 is a wasteful number, since it uses less digits than its factorization.

20552027400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

It can be divided in two parts, 2055202 and 7400, that added together give a palindrome (2062602).

The spelling of 20552027400 in words is "twenty billion, five hundred fifty-two million, twenty-seven thousand, four hundred".