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661523433120 = 253251141762843
BaseRepresentation
bin10011010000001011101…
…11101000011010100000
32100020111201001021121100
421220011313220122200
541314244444324440
61223522154554400
765536111255464
oct11500567503240
92306451037540
10661523433120
112356068064a0
12a825aa38a00
134a4c5bc28c4
14240371ba4a4
151231b1e8230
hex9a05de86a0

661523433120 has 144 divisors (see below), whose sum is σ = 2462671384992. Its totient is φ = 160369313280.

The previous prime is 661523433119. The next prime is 661523433149. The reversal of 661523433120 is 21334325166.

661523433120 is a `hidden beast` number, since 6 + 6 + 1 + 523 + 4 + 3 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6615234331202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 20865582 + ... + 20897261.

It is an arithmetic number, because the mean of its divisors is an integer number (17101884618).

Almost surely, 2661523433120 is an apocalyptic number.

661523433120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

661523433120 is an abundant number, since it is smaller than the sum of its proper divisors (1801147951872).

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

661523433120 is a wasteful number, since it uses less digits than its factorization.

661523433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41762875 (or 41762864 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 661523433120 its reverse (21334325166), we get a palindrome (682857758286).

The spelling of 661523433120 in words is "six hundred sixty-one billion, five hundred twenty-three million, four hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 41762843 83525686 125288529 167051372 208814215 250577058 334102744 375865587 417628430 459391273 501154116 626442645 668205488 751731174 835256860 918782546 1002308232 1252885290 1336410976 1378173819 1503462348 1670513720 1837565092 1879327935 2004616464 2296956365 2505770580 2756347638 3006924696 3341027440 3675130184 3758655870 4009232928 4134521457 4593912730 5011541160 5512695276 6013849392 6682054880 6890869095 7350260368 7517311740 8269042914 9187825460 10023082320 11025390552 12027698784 13781738190 14700520736 15034623480 16538085828 18375650920 20046164640 20672607285 22050781104 27563476380 30069246960 33076171656 36751301840 41345214570 44101562208 55126952760 60138493920 66152343312 73502603680 82690429140 110253905520 132304686624 165380858280 220507811040 330761716560 661523433120