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21942993408 = 29372291547
BaseRepresentation
bin10100011011111001…
…111000001000000000
32002122020121120010120
4110123321320020000
5324414401242113
614025214300240
71404524236500
oct243371701000
962566546116
1021942993408
11934027a7a6
1243047b7680
1320b90b268b
1410c2381a00
1588661ca23
hex51be78200

21942993408 has 120 divisors (see below), whose sum is σ = 68001821712. Its totient is φ = 6269405184.

The previous prime is 21942993403. The next prime is 21942993421. The reversal of 21942993408 is 80439924912.

It is not an unprimeable number, because it can be changed into a prime (21942993403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70510 + ... + 221037.

Almost surely, 221942993408 is an apocalyptic number.

21942993408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

21942993408 is an abundant number, since it is smaller than the sum of its proper divisors (46058828304).

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

21942993408 is an equidigital number, since it uses as much as digits as its factorization.

21942993408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291582 (or 291559 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 21942993408 in words is "twenty-one billion, nine hundred forty-two million, nine hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1176 1344 1536 1568 1792 2352 2688 3136 3584 4704 5376 6272 9408 10752 12544 18816 25088 37632 75264 291547 583094 874641 1166188 1749282 2040829 2332376 3498564 4081658 4664752 6122487 6997128 8163316 9329504 12244974 13994256 14285803 16326632 18659008 24489948 27988512 28571606 32653264 37318016 42857409 48979896 55977024 57143212 65306528 74636032 85714818 97959792 111954048 114286424 130613056 149272064 171429636 195919584 223908096 228572848 261226112 342859272 391839168 447816192 457145696 522452224 685718544 783678336 914291392 1044904448 1371437088 1567356672 1828582784 2742874176 3134713344 3657165568 5485748352 7314331136 10971496704 21942993408