Search a number
-
+
82359100978705 = 5192353672158429
BaseRepresentation
bin10010101110011110111000…
…111101010011011000010001
3101210121110020100112200201101
4102232132320331103120101
541243332414322304310
6451055125413504401
723230151204434315
oct2256367075233021
9353543210480641
1082359100978705
1124273331450281
1292a18b4342101
1336c557863c2b5
14164a2b7895b45
1597c53894143a
hex4ae7b8f53611

82359100978705 has 96 divisors (see below), whose sum is σ = 112280076115200. Its totient is φ = 57704435762688.

The previous prime is 82359100978663. The next prime is 82359100978709. The reversal of 82359100978705 is 50787900195328.

It is not a de Polignac number, because 82359100978705 - 217 = 82359100847633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82359100978709) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 519769431 + ... + 519927859.

It is an arithmetic number, because the mean of its divisors is an integer number (1169584126200).

Almost surely, 282359100978705 is an apocalyptic number.

It is an amenable number.

82359100978705 is a deficient number, since it is larger than the sum of its proper divisors (29920975136495).

82359100978705 is a wasteful number, since it uses less digits than its factorization.

82359100978705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158663 (or 158596 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 64.

The spelling of 82359100978705 in words is "eighty-two trillion, three hundred fifty-nine billion, one hundred million, nine hundred seventy-eight thousand, seven hundred five".

Divisors: 1 5 19 23 53 67 95 115 265 335 437 1007 1219 1273 1541 2185 3551 4489 5035 6095 6365 7705 17755 22445 23161 29279 67469 81673 85291 103247 115805 146395 158429 237917 337345 408365 426455 516235 792145 1189585 1551787 1961693 3010151 3643867 4520423 5472091 7758935 8396737 9808465 10614743 15050755 18219335 22602115 27360455 41983685 53073715 69233473 103969729 159538003 193124951 201680117 244139089 346167365 519848645 562581379 711187781 797690015 965624755 1008400585 1220695445 2812906895 3555938905 3669374069 4638642691 10689046201 12939371717 13512567839 16357318963 18346870345 23193213455 37692952393 53445231005 64696858585 67562839195 81786594815 188464761965 245848062623 310789060297 716166095467 866937905039 1229240313115 1553945301485 3580830477335 4334689525195 16471820195741 82359100978705