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5645655440 = 2451923167967
BaseRepresentation
bin1010100001000000…
…11101110110010000
3112120110022000022122
411100200131312100
543030241433230
62332113553412
7256622164565
oct52040356620
915513260278
105645655440
112437909547
121116875868
136bc851229
143b7b3086c
15230991be5
hex15081dd90

5645655440 has 160 divisors (see below), whose sum is σ = 14519070720. Its totient is φ = 2032031232.

The previous prime is 5645655419. The next prime is 5645655451. The reversal of 5645655440 is 445565465.

It is a junction number, because it is equal to n+sod(n) for n = 5645655391 and 5645655400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5837837 + ... + 5838803.

It is an arithmetic number, because the mean of its divisors is an integer number (90744192).

Almost surely, 25645655440 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 5645655440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7259535360).

5645655440 is an abundant number, since it is smaller than the sum of its proper divisors (8873415280).

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

5645655440 is a wasteful number, since it uses less digits than its factorization.

5645655440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 44.

The square root of 5645655440 is about 75137.5767509174. The cubic root of 5645655440 is about 1780.6208582016.

The spelling of 5645655440 in words is "five billion, six hundred forty-five million, six hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 115 152 167 184 190 230 304 334 368 380 437 460 668 760 835 874 920 967 1336 1520 1670 1748 1840 1934 2185 2672 3173 3340 3496 3841 3868 4370 4835 6346 6680 6992 7682 7736 8740 9670 12692 13360 15364 15472 15865 17480 18373 19205 19340 22241 25384 30728 31730 34960 36746 38410 38680 44482 50768 61456 63460 72979 73492 76820 77360 88964 91865 111205 126920 145958 146984 153640 161489 177928 183730 222410 253840 291916 293968 307280 322978 355856 364895 367460 422579 444820 583832 645956 729790 734920 807445 845158 889640 1167664 1291912 1459580 1469840 1614890 1690316 1779280 2112895 2583824 2919160 3068291 3229780 3380632 3714247 4225790 5838320 6136582 6459560 6761264 7428494 8451580 12273164 12919120 14856988 15341455 16903160 18571235 24546328 29713976 30682910 33806320 37142470 49092656 59427952 61365820 70570693 74284940 122731640 141141386 148569880 245463280 282282772 297139760 352853465 564565544 705706930 1129131088 1411413860 2822827720 5645655440