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21381780384 = 253337366347
BaseRepresentation
bin10011111010011101…
…000001001110100000
32001012010120222121000
4103322131001032200
5322242213433014
613453405432000
71354601064066
oct237235011640
961163528530
1021381780384
119082504088
12418886b600
132029a47473
14106ba14036
15852212509
hex4fa7413a0

21381780384 has 96 divisors (see below), whose sum is σ = 62531663040. Its totient is φ = 7108045056.

The previous prime is 21381780367. The next prime is 21381780419. The reversal of 21381780384 is 48308718312.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289099 + ... + 355445.

It is an arithmetic number, because the mean of its divisors is an integer number (651371490).

Almost surely, 221381780384 is an apocalyptic number.

21381780384 is a gapful number since it is divisible by the number (24) 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 21381780384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31265831520).

21381780384 is an abundant number, since it is smaller than the sum of its proper divisors (41149882656).

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

21381780384 is a wasteful number, since it uses less digits than its factorization.

21381780384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66739 (or 66725 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 21381780384 in words is "twenty-one billion, three hundred eighty-one million, seven hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 373 432 746 864 1119 1492 2238 2984 3357 4476 5968 6714 8952 10071 11936 13428 17904 20142 26856 35808 40284 53712 66347 80568 107424 132694 161136 199041 265388 322272 398082 530776 597123 796164 1061552 1194246 1592328 1791369 2123104 2388492 3184656 3582738 4776984 6369312 7165476 9553968 14330952 19107936 24747431 28661904 49494862 57323808 74242293 98989724 148484586 197979448 222726879 296969172 395958896 445453758 593938344 668180637 791917792 890907516 1187876688 1336361274 1781815032 2375753376 2672722548 3563630064 5345445096 7127260128 10690890192 21381780384