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21426612480 = 28355713757
BaseRepresentation
bin10011111101001000…
…000010100100000000
32001022020221200200000
4103331020002210000
5322340203044410
613502050400000
71355654125650
oct237510024400
961266850600
1021426612480
1190a58450a9
12419b890000
132036113530
141073964360
1585611adc0
hex4fd202900

21426612480 has 864 divisors, whose sum is σ = 94745973504. Its totient is φ = 4514807808.

The previous prime is 21426612469. The next prime is 21426612499. The reversal of 21426612480 is 8421662412.

21426612480 is a `hidden beast` number, since 2 + 14 + 26 + 612 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 28304262 + ... + 28305018.

Almost surely, 221426612480 is an apocalyptic number.

21426612480 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 21426612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47372986752).

21426612480 is an abundant number, since it is smaller than the sum of its proper divisors (73319361024).

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

21426612480 is an equidigital number, since it uses as much as digits as its factorization.

21426612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 21426612480 in words is "twenty-one billion, four hundred twenty-six million, six hundred twelve thousand, four hundred eighty".