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20355334320 = 2435296743651
BaseRepresentation
bin10010111101010001…
…011100000010110000
31221112121011010022010
4102331101130002300
5313141431144240
613203501242520
71320265326006
oct227521340260
957477133263
1020355334320
1186a6067a52
123b40b63440
131bc51aab29
14db1580a76
157e205a280
hex4bd45c0b0

20355334320 has 160 divisors (see below), whose sum is σ = 66253259520. Its totient is φ = 5162572800.

The previous prime is 20355334313. The next prime is 20355334331. The reversal of 20355334320 is 2343355302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444495 + ... + 488145.

It is an arithmetic number, because the mean of its divisors is an integer number (414082872).

Almost surely, 220355334320 is an apocalyptic number.

20355334320 is a gapful number since it is divisible by the number (20) 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 20355334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33126629760).

20355334320 is an abundant number, since it is smaller than the sum of its proper divisors (45897925200).

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

20355334320 is a wasteful number, since it uses less digits than its factorization.

20355334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43763 (or 43757 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

Adding to 20355334320 its reverse (2343355302), we get a palindrome (22698689622).

The spelling of 20355334320 in words is "twenty billion, three hundred fifty-five million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 67 80 87 116 120 134 145 174 201 232 240 268 290 335 348 402 435 464 536 580 670 696 804 870 1005 1072 1160 1340 1392 1608 1740 1943 2010 2320 2680 3216 3480 3886 4020 5360 5829 6960 7772 8040 9715 11658 15544 16080 19430 23316 29145 31088 38860 43651 46632 58290 77720 87302 93264 116580 130953 155440 174604 218255 233160 261906 349208 436510 466320 523812 654765 698416 873020 1047624 1265879 1309530 1746040 2095248 2531758 2619060 2924617 3492080 3797637 5063516 5238120 5849234 6329395 7595274 8773851 10127032 10476240 11698468 12658790 14623085 15190548 17547702 18988185 20254064 23396936 25317580 29246170 30381096 35095404 37976370 43869255 46793872 50635160 58492340 60762192 70190808 75952740 84813893 87738510 101270320 116984680 140381616 151905480 169627786 175477020 233969360 254441679 303810960 339255572 350954040 424069465 508883358 678511144 701908080 848138930 1017766716 1272208395 1357022288 1696277860 2035533432 2544416790 3392555720 4071066864 5088833580 6785111440 10177667160 20355334320