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7830380082912 = 253179631722153
BaseRepresentation
bin111000111110010011100…
…0001011111011011100000
31000201120120122120211110220
41301330213001133123200
52011243104300123122
624353121004323040
71435504055340432
oct161744701373340
930646518524426
107830380082912
112549933467a82
12a656b6543480
1344a52b626c0a
141d0dc72a4652
15d8a45b9725c
hex71f2705f6e0

7830380082912 has 96 divisors (see below), whose sum is σ = 20702364238080. Its totient is φ = 2591428008960.

The previous prime is 7830380082881. The next prime is 7830380082929. The reversal of 7830380082912 is 2192800830387.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×78303800829122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10482028 + ... + 11204180.

It is an arithmetic number, because the mean of its divisors is an integer number (215649627480).

Almost surely, 27830380082912 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 7830380082912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10351182119040).

7830380082912 is an abundant number, since it is smaller than the sum of its proper divisors (12871984155168).

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

7830380082912 is a wasteful number, since it uses less digits than its factorization.

7830380082912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722976 (or 722968 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 7830380082912 in words is "seven trillion, eight hundred thirty billion, three hundred eighty million, eighty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 358 537 631 716 1074 1262 1432 1893 2148 2524 2864 3786 4296 5048 5728 7572 8592 10096 15144 17184 20192 30288 60576 112949 225898 338847 451796 677694 722153 903592 1355388 1444306 1807184 2166459 2710776 2888612 3614368 4332918 5421552 5777224 8665836 10843104 11554448 17331672 23108896 34663344 69326688 129265387 258530774 387796161 455678543 517061548 775592322 911357086 1034123096 1367035629 1551184644 1822714172 2068246192 2734071258 3102369288 3645428344 4136492384 5468142516 6204738576 7290856688 10936285032 12409477152 14581713376 21872570064 43745140128 81566459197 163132918394 244699377591 326265836788 489398755182 652531673576 978797510364 1305063347152 1957595020728 2610126694304 3915190041456 7830380082912