Search a number
-
+
86214422272 = 2811241127037
BaseRepresentation
bin101000001001011000…
…1111010111100000000
322020112102122102201211
41100102301322330000
52403031343003042
6103334550135504
76141321332536
oct1202261727400
9266472572654
1086214422272
1133621880560
1214861051594
13818c767564
14425c242156
152398d5e017
hex1412c7af00

86214422272 has 72 divisors (see below), whose sum is σ = 188517277872. Its totient is φ = 39025459200.

The previous prime is 86214422263. The next prime is 86214422309. The reversal of 86214422272 is 27222441268.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 615138 + ... + 742174.

It is an arithmetic number, because the mean of its divisors is an integer number (2618295526).

Almost surely, 286214422272 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 86214422272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94258638936).

86214422272 is an abundant number, since it is smaller than the sum of its proper divisors (102302855600).

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

86214422272 is a wasteful number, since it uses less digits than its factorization.

86214422272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127305 (or 127291 counting only the distinct ones).

The product of its digits is 172032, while the sum is 40.

The spelling of 86214422272 in words is "eighty-six billion, two hundred fourteen million, four hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 241 256 352 482 704 964 1408 1928 2651 2816 3856 5302 7712 10604 15424 21208 30848 42416 61696 84832 127037 169664 254074 339328 508148 678656 1016296 1397407 2032592 2794814 4065184 5589628 8130368 11179256 16260736 22358512 30615917 32521472 44717024 61231834 89434048 122463668 178868096 244927336 336775087 357736192 489854672 673550174 979709344 1347100348 1959418688 2694200696 3918837376 5388401392 7837674752 10776802784 21553605568 43107211136 86214422272