Search a number
-
+
21960318481248 = 253732679045359
BaseRepresentation
bin1001111111001000010001…
…11110110111001101100000
32212202101102100112100021010
410333210020332313031200
510334244213012344443
6114412233034300520
74424403110130630
oct477441076671540
985671370470233
1021960318481248
116aa7356307524
122568082287740
13c33b067646a4
1455cc569646c0
152813892db733
hex13f908fb7360

21960318481248 has 48 divisors (see below), whose sum is σ = 65880955445760. Its totient is φ = 6274376708736.

The previous prime is 21960318481177. The next prime is 21960318481249. The reversal of 21960318481248 is 84218481306912.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21960318481249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16339522008 + ... + 16339523351.

It is an arithmetic number, because the mean of its divisors is an integer number (1372519905120).

Almost surely, 221960318481248 is an apocalyptic number.

21960318481248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

21960318481248 is an abundant number, since it is smaller than the sum of its proper divisors (43920636964512).

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

21960318481248 is a wasteful number, since it uses less digits than its factorization.

21960318481248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32679045379 (or 32679045371 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 21960318481248 in words is "twenty-one trillion, nine hundred sixty billion, three hundred eighteen million, four hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 32679045359 65358090718 98037136077 130716181436 196074272154 228753317513 261432362872 392148544308 457506635026 522864725744 686259952539 784297088616 915013270052 1045729451488 1372519905078 1568594177232 1830026540104 2745039810156 3137188354464 3660053080208 5490079620312 7320106160416 10980159240624 21960318481248