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11883007357752 = 23331241147145053
BaseRepresentation
bin1010110011101011101001…
…1011101011001100111000
31120002000010012210002120110
42230322322123223030320
53024142344340422002
641134551143424320
72334342666655656
oct254727233531470
946060105702513
1011883007357752
113871611956113
1213bb00b1550a0
13682741594a5b
142d11d7c35dd6
15159186eb3e6c
hexaceba6eb338

11883007357752 has 128 divisors (see below), whose sum is σ = 30814686904320. Its totient is φ = 3814642944000.

The previous prime is 11883007357747. The next prime is 11883007357769. The reversal of 11883007357752 is 25775370038811.

It is a junction number, because it is equal to n+sod(n) for n = 11883007357692 and 11883007357701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263733658 + ... + 263778710.

It is an arithmetic number, because the mean of its divisors is an integer number (240739741440).

Almost surely, 211883007357752 is an apocalyptic number.

11883007357752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11883007357752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15407343452160).

11883007357752 is an abundant number, since it is smaller than the sum of its proper divisors (18931679546568).

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

11883007357752 is a wasteful number, since it uses less digits than its factorization.

11883007357752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46805 (or 46801 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 57.

The spelling of 11883007357752 in words is "eleven trillion, eight hundred eighty-three billion, seven million, three hundred fifty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 241 248 372 482 723 744 964 1446 1471 1928 2892 2942 4413 5784 5884 7471 8826 11768 14942 17652 22413 29884 35304 44826 45053 45601 59768 89652 90106 91202 135159 136803 179304 180212 182404 270318 273606 354511 360424 364808 540636 547212 709022 1063533 1081272 1094424 1396643 1418044 2127066 2793286 2836088 4189929 4254132 5586572 8379858 8508264 10857773 10989841 11173144 16759716 21715546 21979682 32573319 32969523 33519432 43431092 43959364 65146638 65939046 66272963 86862184 87918728 130293276 131878092 132545926 198818889 260586552 263756184 265091852 336590963 397637778 530183704 673181926 795275556 1009772889 1346363852 1590551112 2019545778 2054461853 2692727704 4039091556 4108923706 6163385559 8078183112 8217847412 12326771118 15971784083 16435694824 24653542236 31943568166 47915352249 49307084472 63887136332 95830704498 127774272664 191661408996 383322817992 495125306573 990250613146 1485375919719 1980501226292 2970751839438 3961002452584 5941503678876 11883007357752