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21380128794 = 2333113679343
BaseRepresentation
bin10011111010010110…
…101110000000011010
32001012000111002001000
4103322112232000122
5322241303110134
613453310205430
71354551045003
oct237226560032
961160432030
1021380128794
119081586232
1241881b3876
1320295b97ab
14106b7041aa
15851ed7e99
hex4fa5ae01a

21380128794 has 64 divisors (see below), whose sum is σ = 49085153280. Its totient is φ = 6891032880.

The previous prime is 21380128789. The next prime is 21380128799. The reversal of 21380128794 is 49782108312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21380128789) and next prime (21380128799).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (21380128799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2283687 + ... + 2293029.

It is an arithmetic number, because the mean of its divisors is an integer number (766955520).

Almost surely, 221380128794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21380128794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24542576640).

21380128794 is an abundant number, since it is smaller than the sum of its proper divisors (27705024486).

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

21380128794 is a wasteful number, since it uses less digits than its factorization.

21380128794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10752 (or 10746 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 21380128794 in words is "twenty-one billion, three hundred eighty million, one hundred twenty-eight thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1367 1674 2734 4101 8202 9343 12303 18686 24606 28029 36909 42377 56058 73818 84087 84754 127131 168174 252261 254262 289633 381393 504522 579266 762786 868899 1144179 1737798 2288358 2606697 5213394 7820091 12771881 15640182 25543762 38315643 76631286 114946929 229893858 344840787 395928311 689681574 791856622 1187784933 2375569866 3563354799 7126709598 10690064397 21380128794