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21284153352 = 23337113141281
BaseRepresentation
bin10011110100101000…
…100110100000001000
32000221022220000111000
4103310220212200020
5322042220401402
613440001135000
71352304214140
oct236450464010
960838800430
1021284153352
119032393490
12416002a460
132012754aa7
14105ca7d920
1584887ac1c
hex4f4a26808

21284153352 has 256 divisors, whose sum is σ = 76090982400. Its totient is φ = 5349888000.

The previous prime is 21284153351. The next prime is 21284153353. The reversal of 21284153352 is 25335148212.

21284153352 is a `hidden beast` number, since 21 + 284 + 1 + 5 + 3 + 352 = 666.

It is an interprime number because it is at equal distance from previous prime (21284153351) and next prime (21284153353).

It is a super-2 number, since 2×212841533522 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21284153351) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 494952 + ... + 536232.

It is an arithmetic number, because the mean of its divisors is an integer number (297230400).

Almost surely, 221284153352 is an apocalyptic number.

21284153352 is a gapful number since it is divisible by the number (22) 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 21284153352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38045491200).

21284153352 is an abundant number, since it is smaller than the sum of its proper divisors (54806829048).

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

21284153352 is a wasteful number, since it uses less digits than its factorization.

21284153352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41345 (or 41335 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 21284153352 in words is "twenty-one billion, two hundred eighty-four million, one hundred fifty-three thousand, three hundred fifty-two".