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21354962048 = 277211532953
BaseRepresentation
bin10011111000110110…
…101101110010000000
32001010021010110202022
4103320312231302000
5322213332241143
613451010541012
71354124116400
oct237066556200
961107113668
1021354962048
119069357072
12417b897768
132024317724
141068232800
1584ebb6268
hex4f8dadc80

21354962048 has 96 divisors (see below), whose sum is σ = 49548594060. Its totient is φ = 9141092352.

The previous prime is 21354962039. The next prime is 21354962077. The reversal of 21354962048 is 84026945312.

It can be written as a sum of positive squares in 2 ways, for example, as 19178926144 + 2176035904 = 138488^2 + 46648^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7230140 + ... + 7233092.

Almost surely, 221354962048 is an apocalyptic number.

21354962048 is a gapful number since it is divisible by the number (28) 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 21354962048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24774297030).

21354962048 is an abundant number, since it is smaller than the sum of its proper divisors (28193632012).

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

21354962048 is a wasteful number, since it uses less digits than its factorization.

21354962048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 21354962048 in words is "twenty-one billion, three hundred fifty-four million, nine hundred sixty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1153 1568 2306 2953 3136 4612 5906 6272 8071 9224 11812 16142 18448 20671 23624 32284 36896 41342 47248 56497 64568 73792 82684 94496 112994 129136 144697 147584 165368 188992 225988 258272 289394 330736 377984 451976 516544 578788 661472 903952 1033088 1157576 1322944 1807904 2315152 2645888 3404809 3615808 4630304 6809618 7231616 9260608 13619236 18521216 23833663 27238472 47667326 54476944 95334652 108953888 166835641 190669304 217907776 333671282 381338608 435815552 667342564 762677216 1334685128 1525354432 2669370256 3050708864 5338740512 10677481024 21354962048