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82783053252508 = 22747401461340283
BaseRepresentation
bin10010110100101001101110…
…011110111000011110011100
3101212002222112022112122101011
4102310221232132320132130
541322304143113040013
6452022002030225004
723302610142341350
oct2264515636703634
9355088468478334
1082783053252508
1124417106458484
12934bab1055164
1337265404064cb
141662a14bcd460
1598859d04ec3d
hex4b4a6e7b879c

82783053252508 has 96 divisors (see below), whose sum is σ = 169878658295808. Its totient is φ = 34561762176000.

The previous prime is 82783053252503. The next prime is 82783053252521. The reversal of 82783053252508 is 80525235038728.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82783053252503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243106935 + ... + 243447217.

It is an arithmetic number, because the mean of its divisors is an integer number (1769569357248).

Almost surely, 282783053252508 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 82783053252508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84939329147904).

82783053252508 is an abundant number, since it is smaller than the sum of its proper divisors (87095605043300).

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

82783053252508 is a wasteful number, since it uses less digits than its factorization.

82783053252508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341203 (or 341201 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 58.

The spelling of 82783053252508 in words is "eighty-two trillion, seven hundred eighty-three billion, fifty-three million, two hundred fifty-two thousand, five hundred eight".

Divisors: 1 2 4 7 14 28 47 94 188 329 401 461 658 802 922 1316 1604 1844 2807 3227 5614 6454 11228 12908 18847 21667 37694 43334 75388 86668 131929 151669 184861 263858 303338 340283 369722 527716 606676 680566 739444 1294027 1361132 2381981 2588054 4763962 5176108 8688467 9527924 15993301 17376934 31986602 34753868 60819269 63973204 111953107 121638538 136453483 156870463 223906214 243277076 272906966 313740926 447812428 545813932 627481852 955174381 1098093241 1910348762 2196186482 3820697524 4392372964 6413313701 7372911761 12826627402 14745823522 25653254804 29491647044 44893195907 51610382327 62905055663 89786391814 103220764654 125810111326 179572783628 206441529308 251620222652 440335389641 880670779282 1761341558564 2956537616161 5913075232322 11826150464644 20695763313127 41391526626254 82783053252508