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72183890224920 = 23357314275774471
BaseRepresentation
bin10000011010011010011111…
…001000101010011100011000
3100110120201020102100221100210
4100122122133020222130120
533430130101344144140
6413304453230131120
721130054043200605
oct2032323710523430
9313521212327323
1072183890224920
112100001a224701
12811987a950aa0
133137bb0b4a146
1413b7a0ca4b6ac
15852a069bad80
hex41a69f22a718

72183890224920 has 128 divisors (see below), whose sum is σ = 219672001866240. Its totient is φ = 18972044282880.

The previous prime is 72183890224903. The next prime is 72183890224949. The reversal of 72183890224920 is 2942209838127.

It is a super-2 number, since 2×721838902249202 (a number of 29 digits) contains 22 as substring.

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, 9613285 + ... + 15387755.

It is an arithmetic number, because the mean of its divisors is an integer number (1716187514580).

Almost surely, 272183890224920 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 72183890224920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109836000933120).

72183890224920 is an abundant number, since it is smaller than the sum of its proper divisors (147488111641320).

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

72183890224920 is a wasteful number, since it uses less digits than its factorization.

72183890224920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5775985 (or 5775981 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 72183890224920 in words is "seventy-two trillion, one hundred eighty-three billion, eight hundred ninety million, two hundred twenty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1427 1460 1752 2190 2854 2920 4281 4380 5708 7135 8562 8760 11416 14270 17124 21405 28540 34248 42810 57080 85620 104171 171240 208342 312513 416684 520855 625026 833368 1041710 1250052 1562565 2083420 2500104 3125130 4166840 5774471 6250260 11548942 12500520 17323413 23097884 28872355 34646826 46195768 57744710 69293652 86617065 115489420 138587304 173234130 230978840 346468260 421536383 692936520 843072766 1264609149 1686145532 2107681915 2529218298 3372291064 4215363830 5058436596 6323045745 8240170117 8430727660 10116873192 12646091490 16480340234 16861455320 24720510351 25292182980 32960680468 41200850585 49441020702 50584365960 65921360936 82401701170 98882041404 123602551755 164803402340 197764082808 247205103510 329606804680 494410207020 601532418541 988820414040 1203064837082 1804597255623 2406129674164 3007662092705 3609194511246 4812259348328 6015324185410 7218389022492 9022986278115 12030648370820 14436778044984 18045972556230 24061296741640 36091945112460 72183890224920