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21204312448 = 271147714513
BaseRepresentation
bin10011101111111000…
…000010000110000000
32000201202122200100111
4103233320002012000
5321411300444243
613424030001104
71350314452624
oct235770020600
960652580314
1021204312448
118aa1310870
124139346194
131ccc04bc57
141052219184
1584185939d
hex4efe02180

21204312448 has 128 divisors (see below), whose sum is σ = 47737175040. Its totient is φ = 9298329600.

The previous prime is 21204312443. The next prime is 21204312457. The reversal of 21204312448 is 84421340212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21204312443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4696240 + ... + 4700752.

It is an arithmetic number, because the mean of its divisors is an integer number (372946680).

Almost surely, 221204312448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21204312448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23868587520).

21204312448 is an abundant number, since it is smaller than the sum of its proper divisors (26532862592).

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

21204312448 is a wasteful number, since it uses less digits than its factorization.

21204312448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4656 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 21204312448 in words is "twenty-one billion, two hundred four million, three hundred twelve thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 71 88 94 128 142 176 188 284 352 376 517 568 704 752 781 1034 1136 1408 1504 1562 2068 2272 3008 3124 3337 4136 4513 4544 6016 6248 6674 8272 9026 9088 12496 13348 16544 18052 24992 26696 33088 36104 36707 49643 49984 53392 66176 72208 73414 99286 99968 106784 144416 146828 198572 212111 213568 288832 293656 320423 397144 424222 427136 577664 587312 640846 794288 848444 1174624 1281692 1588576 1696888 2333221 2349248 2563384 3177152 3393776 3524653 4666442 4698496 5126768 6354304 6787552 7049306 9332884 10253536 13575104 14098612 15059881 18665768 20507072 27150208 28197224 30119762 37331536 41014144 56394448 60239524 74663072 112788896 120479048 149326144 165658691 225577792 240958096 298652288 331317382 451155584 481916192 662634764 963832384 1325269528 1927664768 2650539056 5301078112 10602156224 21204312448