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83953331712 = 293312747819
BaseRepresentation
bin100111000110000000…
…0100010111000000000
322000200212000010121000
41032030000202320000
52333414023103322
6102322335132000
76031304355015
oct1161400427000
9260625003530
1083953331712
1132671515778
121432b974000
137bbc196753
1440c5c2170c
1522b55c63ac
hex138c022e00

83953331712 has 160 divisors (see below), whose sum is σ = 250469683200. Its totient is φ = 27763513344.

The previous prime is 83953331699. The next prime is 83953331723. The reversal of 83953331712 is 21713335938.

83953331712 is a `hidden beast` number, since 83 + 9 + 533 + 31 + 7 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1731739 + ... + 1779557.

It is an arithmetic number, because the mean of its divisors is an integer number (1565435520).

Almost surely, 283953331712 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 83953331712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125234841600).

83953331712 is an abundant number, since it is smaller than the sum of its proper divisors (166516351488).

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

83953331712 is a wasteful number, since it uses less digits than its factorization.

83953331712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47973 (or 47951 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 83953331712 in words is "eighty-three billion, nine hundred fifty-three million, three hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 128 144 192 216 254 256 288 381 384 432 508 512 576 762 768 864 1016 1143 1152 1524 1536 1728 2032 2286 2304 3048 3429 3456 4064 4572 4608 6096 6858 6912 8128 9144 12192 13716 13824 16256 18288 24384 27432 32512 36576 47819 48768 54864 65024 73152 95638 97536 109728 143457 146304 191276 195072 219456 286914 292608 382552 430371 438912 573828 585216 765104 860742 877824 1147656 1291113 1530208 1721484 1755648 2295312 2582226 3060416 3442968 4590624 5164452 6073013 6120832 6885936 9181248 10328904 12146026 12241664 13771872 18219039 18362496 20657808 24292052 24483328 27543744 36438078 36724992 41315616 48584104 54657117 55087488 72876156 73449984 82631232 97168208 109314234 110174976 145752312 163971351 165262464 194336416 218628468 220349952 291504624 327942702 330524928 388672832 437256936 583009248 655885404 661049856 777345664 874513872 1166018496 1311770808 1554691328 1749027744 2332036992 2623541616 3109382656 3498055488 4664073984 5247083232 6996110976 9328147968 10494166464 13992221952 20988332928 27984443904 41976665856 83953331712