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663756485713380 = 22355373691227259
BaseRepresentation
bin1001011011101011101101100…
…1100011000101110111100100
310020001011111111201212220200000
42112322323121203011313210
51143444441240320312010
610311405304152421300
7256544552325152433
oct22672733143056744
93201144451786600
10663756485713380
111825475aa0a8974
12625405540a7830
1322649c779b2a87
14b9c9db1a1911a
1551b0c694de7c0
hex25baed98c5de4

663756485713380 has 144 divisors (see below), whose sum is σ = 2144396329333440. Its totient is φ = 172217898949248.

The previous prime is 663756485713313. The next prime is 663756485713393. The reversal of 663756485713380 is 83317584657366.

663756485713380 is a `hidden beast` number, since 6 + 6 + 3 + 7 + 5 + 6 + 48 + 571 + 3 + 3 + 8 + 0 = 666.

It is a super-2 number, since 2×6637564857133802 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 663756485713299 and 663756485713308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1845433810 + ... + 1845793449.

Almost surely, 2663756485713380 is an apocalyptic number.

663756485713380 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

663756485713380 is an abundant number, since it is smaller than the sum of its proper divisors (1480639843620060).

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

663756485713380 is a wasteful number, since it uses less digits than its factorization.

663756485713380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3691227320 (or 3691227306 counting only the distinct ones).

The product of its (nonzero) digits is 1828915200, while the sum is 72.

The spelling of 663756485713380 in words is "six hundred sixty-three trillion, seven hundred fifty-six billion, four hundred eighty-five million, seven hundred thirteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 135 148 162 180 185 222 243 270 324 333 370 405 444 486 540 555 666 740 810 972 999 1110 1215 1332 1620 1665 1998 2220 2430 2997 3330 3996 4860 4995 5994 6660 8991 9990 11988 14985 17982 19980 29970 35964 44955 59940 89910 179820 3691227259 7382454518 11073681777 14764909036 18456136295 22147363554 33221045331 36912272590 44294727108 55368408885 66442090662 73824545180 99663135993 110736817770 132884181324 136575408583 166105226655 199326271986 221473635540 273150817166 298989407979 332210453310 398652543972 409726225749 498315679965 546301634332 597978815958 664420906620 682877042915 819452451498 896968223937 996631359930 1195957631916 1229178677247 1365754085830 1494947039895 1638904902996 1793936447874 1993262719860 2048631128745 2458357354494 2731508171660 2989894079790 3587872895748 3687536031741 4097262257490 4484841119685 4916714708988 5979788159580 6145893386235 7375072063482 8194524514980 8969682239370 11062608095223 12291786772470 14750144126964 17939364478740 18437680158705 22125216190446 24583573544940 33187824285669 36875360317410 44250432380892 55313040476115 66375648571338 73750720634820 110626080952230 132751297142676 165939121428345 221252161904460 331878242856690 663756485713380