Search a number
-
+
83549386749568 = 2729431035081941
BaseRepresentation
bin10010111111110011011011…
…100001001011011010000000
3101221211020120102012211111111
4102333303123201023122000
541422333121001441233
6453410020340453104
723412146455522525
oct2277633341133200
9357736512184444
1083549386749568
1124692106768223
1294545206aa194
13378089a4c4b0c
14168bb51ba914c
1599d4a08bbacd
hex4bfcdb84b680

83549386749568 has 128 divisors (see below), whose sum is σ = 177900494428800. Its totient is φ = 39013687480320.

The previous prime is 83549386749557. The next prime is 83549386749637. The reversal of 83549386749568 is 86594768394538.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13899478 + ... + 18981418.

It is an arithmetic number, because the mean of its divisors is an integer number (1389847612725).

Almost surely, 283549386749568 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 83549386749568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88950247214400).

83549386749568 is an abundant number, since it is smaller than the sum of its proper divisors (94351107679232).

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

83549386749568 is a wasteful number, since it uses less digits than its factorization.

83549386749568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5082130 (or 5082118 counting only the distinct ones).

The product of its digits is 37623398400, while the sum is 85.

The spelling of 83549386749568 in words is "eighty-three trillion, five hundred forty-nine billion, three hundred eighty-six million, seven hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 43 58 64 86 103 116 128 172 206 232 344 412 464 688 824 928 1247 1376 1648 1856 2494 2752 2987 3296 3712 4429 4988 5504 5974 6592 8858 9976 11948 13184 17716 19952 23896 35432 39904 47792 70864 79808 95584 128441 141728 159616 191168 256882 283456 382336 513764 566912 1027528 2055056 4110112 5081941 8220224 10163882 16440448 20327764 40655528 81311056 147376289 162622112 218523463 294752578 325244224 437046926 523439923 589505156 650488448 874093852 1046879846 1179010312 1748187704 2093759692 2358020624 3496375408 4187519384 4716041248 6337180427 6992750816 8375038768 9432082496 12674360854 13985501632 15179757767 16750077536 18864164992 22507916689 25348721708 27971003264 30359515534 33500155072 45015833378 50697443416 60719031068 67000310144 90031666756 101394886832 121438062136 180063333512 202789773664 242876124272 360126667024 405579547328 485752248544 652729583981 720253334048 811159094656 971504497088 1305459167962 1440506668096 1943008994176 2610918335924 2881013336192 5221836671848 10443673343696 20887346687392 41774693374784 83549386749568