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21342194280 = 23355113147137
BaseRepresentation
bin10011111000000110…
…000000101001101000
32001002101002210200000
4103320012000221220
5322202100204110
613445433143000
71353610441521
oct237006005150
961071083600
1021342194280
1190621264a0
12417755aa60
132021797134
14106666b848
1584d9e31c0
hex4f8180a68

21342194280 has 768 divisors, whose sum is σ = 83328860160. Its totient is φ = 4864665600.

The previous prime is 21342194273. The next prime is 21342194297. The reversal of 21342194280 is 8249124312.

21342194280 is a `hidden beast` number, since 2 + 13 + 4 + 219 + 428 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 155782372 + ... + 155782508.

It is an arithmetic number, because the mean of its divisors is an integer number (108501120).

Almost surely, 221342194280 is an apocalyptic number.

21342194280 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 21342194280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664430080).

21342194280 is an abundant number, since it is smaller than the sum of its proper divisors (61986665880).

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

21342194280 is a wasteful number, since it uses less digits than its factorization.

21342194280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 21342194280 in words is "twenty-one billion, three hundred forty-two million, one hundred ninety-four thousand, two hundred eighty".