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6982642152 = 23331713271433
BaseRepresentation
bin1101000000011001…
…01010100111101000
3200000122001222022000
412200030222213220
5103300024022102
63112514131000
7335015323203
oct64014524750
920018058260
106982642152
112a63579442
12142a580a60
13873839325
144a351c93a
152ad03b01c
hex1a032a9e8

6982642152 has 128 divisors (see below), whose sum is σ = 20567001600. Its totient is φ = 2187454464.

The previous prime is 6982642141. The next prime is 6982642159. The reversal of 6982642152 is 2512462896.

It is a super-2 number, since 2×69826421522 = 97514582845774382208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6982642098 and 6982642107.

It is not an unprimeable number, because it can be changed into a prime (6982642159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4872028 + ... + 4873460.

It is an arithmetic number, because the mean of its divisors is an integer number (160679700).

Almost surely, 26982642152 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 6982642152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10283500800).

6982642152 is an abundant number, since it is smaller than the sum of its proper divisors (13584359448).

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

6982642152 is a wasteful number, since it uses less digits than its factorization.

6982642152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2782 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 6982642152 is about 83562.2052844466. The cubic root of 6982642152 is about 1911.3487136239.

The spelling of 6982642152 in words is "six billion, nine hundred eighty-two million, six hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1327 1433 1836 2654 2866 3672 3981 4299 5308 5732 7962 8598 10616 11464 11943 12897 15924 17196 22559 23886 24361 25794 31848 34392 35829 38691 45118 47772 48722 51588 67677 71658 73083 77382 90236 95544 97444 103176 135354 143316 146166 154764 180472 194888 203031 219249 270708 286632 292332 309528 406062 438498 541416 584664 609093 657747 812124 876996 1218186 1315494 1624248 1753992 1901591 2436372 2630988 3803182 4872744 5261976 5704773 7606364 11409546 15212728 17114319 22819092 32327047 34228638 45638184 51342957 64654094 68457276 96981141 102685914 129308188 136914552 193962282 205371828 258616376 290943423 387924564 410743656 581886846 775849128 872830269 1163773692 1745660538 2327547384 3491321076 6982642152