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21191466240 = 2835579733
BaseRepresentation
bin10011101111000111…
…000001110100000000
32000200212111000200000
4103233013001310000
5321400003404430
613422450400000
71350100330260
oct235707016400
960625430600
1021191466240
118a9503726a
124134b90000
131cc94a1a49
1410506337a0
1584066ce60
hex4ef1c1d00

21191466240 has 432 divisors, whose sum is σ = 86907020928. Its totient is φ = 4843266048.

The previous prime is 21191466223. The next prime is 21191466269. The reversal of 21191466240 is 4266419112.

21191466240 is a `hidden beast` number, since 2 + 1 + 19 + 14 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 21191466195 and 21191466204.

It is a congruent number.

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, 2172414 + ... + 2182146.

Almost surely, 221191466240 is an apocalyptic number.

21191466240 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 21191466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43453510464).

21191466240 is an abundant number, since it is smaller than the sum of its proper divisors (65715554688).

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

21191466240 is an frugal number, since it uses more digits than its factorization.

21191466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9776 (or 9750 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21191466240 in words is "twenty-one billion, one hundred ninety-one million, four hundred sixty-six thousand, two hundred forty".