Search a number
-
+
81733398786 = 2341337228349
BaseRepresentation
bin100110000011110110…
…0001011000100000010
321210222010210212010000
41030013230023010002
52314342222230121
6101314154220430
75622300266244
oct1140754130402
9253863725100
1081733398786
1131732411266
1213a10424716
1379272a6380
143d55076094
1521d576d526
hex1307b0b102

81733398786 has 120 divisors (see below), whose sum is σ = 202713102900. Its totient is φ = 24468179328.

The previous prime is 81733398743. The next prime is 81733398811. The reversal of 81733398786 is 68789333718.

81733398786 is a `hidden beast` number, since 8 + 173 + 3 + 398 + 78 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 37913931225 + 43819467561 = 194715^2 + 209331^2 .

It is a super-2 number, since 2×817333987862 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2868940 + ... + 2897288.

Almost surely, 281733398786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81733398786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101356551450).

81733398786 is an abundant number, since it is smaller than the sum of its proper divisors (120979704114).

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

81733398786 is a wasteful number, since it uses less digits than its factorization.

81733398786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28450 (or 28404 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 81733398786 in words is "eighty-one billion, seven hundred thirty-three million, three hundred ninety-eight thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 81 111 117 162 222 234 333 351 481 666 702 962 999 1053 1369 1443 1998 2106 2738 2886 2997 4107 4329 5994 8214 8658 12321 12987 17797 24642 25974 28349 35594 36963 38961 53391 56698 73926 77922 85047 106782 110889 160173 170094 221778 255141 320346 368537 480519 510282 737074 765423 961038 1048913 1105611 1441557 1530846 2097826 2211222 2296269 2883114 3146739 3316833 4592538 6293478 6633666 9440217 9950499 13635869 18880434 19900998 27271738 28320651 29851497 38809781 40907607 56641302 59702994 77619562 81815214 84961953 116429343 122722821 169923906 232858686 245445642 349288029 368168463 504527153 698576058 736336926 1009054306 1047864087 1104505389 1513581459 2095728174 2209010778 3027162918 3143592261 4540744377 6287184522 9081488754 13622233131 27244466262 40866699393 81733398786