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20969700480 = 2732529472671
BaseRepresentation
bin10011100001111001…
…000011110010000000
32000010102012011020100
4103201321003302000
5320421220403410
613344445242400
71341435341001
oct234171036200
960112164210
1020969700480
118990938383
124092863400
131c925666c1
14102cdc71a8
1582ae648c0
hex4e1e43c80

20969700480 has 384 divisors, whose sum is σ = 76530355200. Its totient is φ = 5282242560.

The previous prime is 20969700473. The next prime is 20969700491. The reversal of 20969700480 is 8400796902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7849545 + ... + 7852215.

It is an arithmetic number, because the mean of its divisors is an integer number (199297800).

Almost surely, 220969700480 is an apocalyptic number.

20969700480 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 20969700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38265177600).

20969700480 is an abundant number, since it is smaller than the sum of its proper divisors (55560654720).

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

20969700480 is a wasteful number, since it uses less digits than its factorization.

20969700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 20969700480 in words is "twenty billion, nine hundred sixty-nine million, seven hundred thousand, four hundred eighty".