Search a number
-
+
80670996468 = 22341974392879
BaseRepresentation
bin100101100100001011…
…1011011011111110100
321201020002201020010000
41023020113123133310
52310203233341333
6101020523231300
75554050104346
oct1131027333764
9251202636100
1080670996468
1131237746717
1213774678530
1377b815a94a
143c93d23296
152172362713
hex12c85db7f4

80670996468 has 120 divisors (see below), whose sum is σ = 212517043200. Its totient is φ = 26683618752.

The previous prime is 80670996457. The next prime is 80670996487. The reversal of 80670996468 is 86469907608.

80670996468 is a `hidden beast` number, since 80 + 6 + 7 + 0 + 9 + 96 + 468 = 666.

It is a super-2 number, since 2×806709964682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28019053 + ... + 28021931.

It is an arithmetic number, because the mean of its divisors is an integer number (1770975360).

Almost surely, 280670996468 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 80670996468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106258521600).

80670996468 is an abundant number, since it is smaller than the sum of its proper divisors (131846046732).

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

80670996468 is a wasteful number, since it uses less digits than its factorization.

80670996468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 80670996468 in words is "eighty billion, six hundred seventy million, nine hundred ninety-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 197 324 394 439 591 788 878 1182 1317 1756 1773 2364 2634 2879 3546 3951 5268 5319 5758 7092 7902 8637 10638 11516 11853 15804 15957 17274 21276 23706 25911 31914 34548 35559 47412 51822 63828 71118 77733 86483 103644 142236 155466 172966 233199 259449 310932 345932 466398 518898 567163 778347 932796 1037796 1134326 1263881 1556694 1701489 2268652 2335041 2527762 3113388 3402978 3791643 4670082 5055524 5104467 6805956 7005123 7583286 9340164 10208934 11374929 14010246 15166572 15313401 20417868 22749858 28020492 30626802 34124787 45499716 45940203 61253604 68249574 91880406 102374361 136499148 183760812 204748722 248984557 409497444 497969114 746953671 995938228 1493907342 2240861013 2987814684 4481722026 6722583039 8963444052 13445166078 20167749117 26890332156 40335498234 80670996468