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5525665040 = 2457173171831
BaseRepresentation
bin1010010010101101…
…01111010100010000
3112021002111212102202
411021112233110100
542304032240130
62312150102332
7253634243420
oct51126572420
915232455382
105525665040
112386103a25
1210a264a9a8
136a0a2b7ac
143a5c18480
1522518e145
hex1495af510

5525665040 has 160 divisors (see below), whose sum is σ = 15603715584. Its totient is φ = 1776476160.

The previous prime is 5525665037. The next prime is 5525665069. The reversal of 5525665040 is 405665255.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5525664985 and 5525665003.

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, 3016925 + ... + 3018755.

Almost surely, 25525665040 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 5525665040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7801857792).

5525665040 is an abundant number, since it is smaller than the sum of its proper divisors (10078050544).

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

5525665040 is a wasteful number, since it uses less digits than its factorization.

5525665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 38.

The square root of 5525665040 is about 74334.8171451306. The cubic root of 5525665040 is about 1767.9155604179.

The spelling of 5525665040 in words is "five billion, five hundred twenty-five million, six hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 317 340 476 560 595 634 680 952 1190 1268 1360 1585 1831 1904 2219 2380 2536 3170 3662 4438 4760 5072 5389 6340 7324 8876 9155 9520 10778 11095 12680 12817 14648 17752 18310 21556 22190 25360 25634 26945 29296 31127 35504 36620 37723 43112 44380 51268 53890 62254 64085 73240 75446 86224 88760 102536 107780 124508 128170 146480 150892 155635 177520 188615 205072 215560 217889 249016 256340 301784 311270 377230 431120 435778 498032 512680 580427 603568 622540 754460 871556 1025360 1089445 1160854 1245080 1508920 1743112 2178890 2321708 2490160 2902135 3017840 3486224 4062989 4357780 4643416 5804270 8125978 8715560 9286832 9867259 11608540 16251956 17431120 19734518 20314945 23217080 32503912 39469036 40629890 46434160 49336295 65007824 69070813 78938072 81259780 98672590 138141626 157876144 162519560 197345180 276283252 325039120 345354065 394690360 552566504 690708130 789380720 1105133008 1381416260 2762832520 5525665040