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21043653120 = 293357233161
BaseRepresentation
bin10011100110010011…
…001010101000000000
32000022120100100012000
4103212103022220000
5321044133344440
613400050304000
71343324046240
oct234623125000
960276310160
1021043653120
118a19659066
1240b3588000
131ca498a369
141038b57b20
158326c1730
hex4e64caa00

21043653120 has 1280 divisors, whose sum is σ = 93525442560. Its totient is φ = 4379443200.

The previous prime is 21043653109. The next prime is 21043653131. The reversal of 21043653120 is 2135634012.

21043653120 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 3 + 653 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21043653109) and next prime (21043653131).

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 344977890 + ... + 344977950.

It is an arithmetic number, because the mean of its divisors is an integer number (73066752).

Almost surely, 221043653120 is an apocalyptic number.

21043653120 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 21043653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46762721280).

21043653120 is an abundant number, since it is smaller than the sum of its proper divisors (72481789440).

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

21043653120 is a wasteful number, since it uses less digits than its factorization.

21043653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 21043653120 in words is "twenty-one billion, forty-three million, six hundred fifty-three thousand, one hundred twenty".