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21678467328 = 283271344151
BaseRepresentation
bin10100001100001000…
…110010100100000000
32001221210212020120100
4110030020302210000
5323344141423303
613543044442400
71365132634440
oct241410624400
961853766510
1021678467328
119214a25401
1242500a9400
13207635527b
1410991a4120
1586d2b98a3
hex50c232900

21678467328 has 108 divisors (see below), whose sum is σ = 71433613888. Its totient is φ = 6193843200.

The previous prime is 21678467263. The next prime is 21678467333. The reversal of 21678467328 is 82376487612.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 655948 + ... + 688203.

Almost surely, 221678467328 is an apocalyptic number.

21678467328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

21678467328 is an abundant number, since it is smaller than the sum of its proper divisors (49755146560).

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

21678467328 is a wasteful number, since it uses less digits than its factorization.

21678467328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344180 (or 1344163 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 21678467328 in words is "twenty-one billion, six hundred seventy-eight million, four hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 1344151 2688302 4032453 5376604 8064906 9409057 10753208 12097359 16129812 18818114 21506416 24194718 28227171 32259624 37636228 43012832 48389436 56454342 64519248 75272456 84681513 86025664 96778872 112908684 129038496 150544912 169363026 172051328 193557744 225817368 258076992 301089824 338726052 344102656 387115488 451634736 516153984 602179648 677452104 774230976 903269472 1032307968 1204359296 1354904208 1548461952 1806538944 2408718592 2709808416 3096923904 3613077888 5419616832 7226155776 10839233664 21678467328