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20093868480 = 263576149019
BaseRepresentation
bin10010101101101100…
…000001100111000000
31220212101011021121010
4102231230001213000
5312123012242410
613121521200520
71310642030640
oct225554014700
956771137533
1020093868480
118581512884
123a89490140
131b82c8260a
14d8895c520
157c910dc20
hex4adb019c0

20093868480 has 224 divisors, whose sum is σ = 74108828160. Its totient is φ = 4517498880.

The previous prime is 20093868469. The next prime is 20093868497. The reversal of 20093868480 is 8486839002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385411 + ... + 434429.

Almost surely, 220093868480 is an apocalyptic number.

20093868480 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 20093868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37054414080).

20093868480 is an abundant number, since it is smaller than the sum of its proper divisors (54014959680).

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

20093868480 is a wasteful number, since it uses less digits than its factorization.

20093868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49107 (or 49097 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 20093868480 in words is "twenty billion, ninety-three million, eight hundred sixty-eight thousand, four hundred eighty".