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11850934679712 = 253427116871291
BaseRepresentation
bin1010110001110100001011…
…0000000111100010100000
31112221221100000101020110000
42230131002300013202200
53023131203234222322
641112124430540000
72332126131466002
oct254350260074240
945857300336400
1011850934679712
113859a53745427
1213b495a067600
1367c6cc989b5b
142cd834414372
1515840b41d3ac
hexac742c078a0

11850934679712 has 120 divisors (see below), whose sum is σ = 34981881625152. Its totient is φ = 3935734531200.

The previous prime is 11850934679687. The next prime is 11850934679723. The reversal of 11850934679712 is 21797643905811.

11850934679712 is a `hidden beast` number, since 1 + 1 + 8 + 509 + 3 + 46 + 79 + 7 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11850934679712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7733214 + ... + 9138077.

It is a 2-persistent number, because it is pandigital, and so is 2⋅11850934679712 = 23701869359424, but 3⋅11850934679712 = 35552804039136 is not.

Almost surely, 211850934679712 is an apocalyptic number.

11850934679712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11850934679712 is an abundant number, since it is smaller than the sum of its proper divisors (23130946945440).

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

11850934679712 is a wasteful number, since it uses less digits than its factorization.

11850934679712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16871584 (or 16871567 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 11850934679712 in words is "eleven trillion, eight hundred fifty billion, nine hundred thirty-four million, six hundred seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 271 288 324 432 542 648 813 864 1084 1296 1626 2168 2439 2592 3252 4336 4878 6504 7317 8672 9756 13008 14634 19512 21951 26016 29268 39024 43902 58536 78048 87804 117072 175608 234144 351216 702432 16871291 33742582 50613873 67485164 101227746 134970328 151841619 202455492 269940656 303683238 404910984 455524857 539881312 607366476 809821968 911049714 1214732952 1366574571 1619643936 1822099428 2429465904 2733149142 3644198856 4572119861 4858931808 5466298284 7288397712 9144239722 10932596568 13716359583 14576795424 18288479444 21865193136 27432719166 36576958888 41149078749 43730386272 54865438332 73153917776 82298157498 109730876664 123447236247 146307835552 164596314996 219461753328 246894472494 329192629992 370341708741 438923506656 493788944988 658385259984 740683417482 987577889976 1316770519968 1481366834964 1975155779952 2962733669928 3950311559904 5925467339856 11850934679712