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20271236216 = 237111671931021
BaseRepresentation
bin10010111000010000…
…101000010001111000
31221022201220111101112
4102320100220101320
5313003414024331
613151254535452
71315224444020
oct227020502170
957281814345
1020271236216
118662647890
123b18967588
131bb094433a
14da432ca80
157d999732b
hex4b8428478

20271236216 has 128 divisors (see below), whose sum is σ = 47964994560. Its totient is φ = 7802265600.

The previous prime is 20271236179. The next prime is 20271236221. The reversal of 20271236216 is 61263217202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19853786 + ... + 19854806.

It is an arithmetic number, because the mean of its divisors is an integer number (374726520).

Almost surely, 220271236216 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 20271236216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23982497280).

20271236216 is an abundant number, since it is smaller than the sum of its proper divisors (27693758344).

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

20271236216 is a wasteful number, since it uses less digits than its factorization.

20271236216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 20271236216 in words is "twenty billion, two hundred seventy-one million, two hundred thirty-six thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 167 193 308 334 386 616 668 772 1021 1169 1336 1351 1544 1837 2042 2123 2338 2702 3674 4084 4246 4676 5404 7147 7348 8168 8492 9352 10808 11231 12859 14294 14696 14861 16984 22462 25718 28588 29722 32231 44924 51436 57176 59444 64462 78617 89848 102872 118888 128924 157234 170507 197053 225617 257848 314468 341014 354541 394106 451234 628936 682028 709082 788212 902468 1193549 1364056 1379371 1418164 1576424 1804936 1875577 2167583 2387098 2481787 2758742 2836328 3751154 4335166 4774196 4963574 5517484 7502308 8670332 9548392 9927148 11034968 13129039 15004616 15173081 17340664 19854296 26258078 30346162 32907851 52516156 60692324 65815702 105032312 121384648 131631404 230354957 263262808 361986361 460709914 723972722 921419828 1447945444 1842839656 2533904527 2895890888 5067809054 10135618108 20271236216