Search a number
-
+
82792707004755 = 32511370145192649
BaseRepresentation
bin10010110100110010101101…
…111001000001100101010011
3101212010220110002210001212200
4102310302231321001211103
541322433430443123010
6452030240003454243
723303401314024546
oct2264625571014523
9355126402701780
1082792707004755
112442020a780420
129351946087383
13372741b452647
14166328cd8085d
15988965815cc0
hex4b4cade41953

82792707004755 has 48 divisors (see below), whose sum is σ = 156595786120800. Its totient is φ = 40131071424000.

The previous prime is 82792707004697. The next prime is 82792707004757. The reversal of 82792707004755 is 55740070729728.

82792707004755 is a `hidden beast` number, since 8 + 2 + 7 + 92 + 7 + 0 + 70 + 0 + 475 + 5 = 666.

It is not a de Polignac number, because 82792707004755 - 28 = 82792707004499 is a prime.

It is a super-2 number, since 2×827927070047552 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82792707004692 and 82792707004701.

It is not an unprimeable number, because it can be changed into a prime (82792707004757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20764330 + ... + 24428319.

It is an arithmetic number, because the mean of its divisors is an integer number (3262412210850).

Almost surely, 282792707004755 is an apocalyptic number.

82792707004755 is a deficient number, since it is larger than the sum of its proper divisors (73803079116045).

82792707004755 is a wasteful number, since it uses less digits than its factorization.

82792707004755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45196372 (or 45196369 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 63.

The spelling of 82792707004755 in words is "eighty-two trillion, seven hundred ninety-two billion, seven hundred seven million, four thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 3701 11103 18505 33309 40711 55515 122133 166545 203555 366399 610665 1831995 45192649 135577947 225963245 406733841 497119139 677889735 1491357417 2033669205 2485595695 4474072251 7456787085 22370361255 167257993949 501773981847 836289969745 1505321945541 1839837933439 2508869909235 5519513800317 7526609727705 9199189667195 16558541400951 27597569001585 82792707004755