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45754012480 = 2651119684121
BaseRepresentation
bin101010100111001001…
…101101001101000000
311101002200020122201211
4222213021231031000
51222201011344410
633004043135504
73206553455251
oct524711551500
9141080218654
1045754012480
1118449a46860
128a4ab14594
1344121b2087
142300866b28
1512cbc2e68a
hexaa726d340

45754012480 has 112 divisors (see below), whose sum is σ = 125112231360. Its totient is φ = 15762124800.

The previous prime is 45754012477. The next prime is 45754012487. The reversal of 45754012480 is 8421045754.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45754012487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275181 + ... + 408940.

Almost surely, 245754012480 is an apocalyptic number.

45754012480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45754012480 is an abundant number, since it is smaller than the sum of its proper divisors (79358218880).

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

45754012480 is a wasteful number, since it uses less digits than its factorization.

45754012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684168 (or 684158 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 40.

The spelling of 45754012480 in words is "forty-five billion, seven hundred fifty-four million, twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 152 160 176 190 209 220 304 320 352 380 418 440 608 704 760 836 880 1045 1216 1520 1672 1760 2090 3040 3344 3520 4180 6080 6688 8360 13376 16720 33440 66880 684121 1368242 2736484 3420605 5472968 6841210 7525331 10945936 12998299 13682420 15050662 21891872 25996598 27364840 30101324 37626655 43783744 51993196 54729680 60202648 64991495 75253310 103986392 109459360 120405296 129982990 142981289 150506620 207972784 218918720 240810592 259965980 285962578 301013240 415945568 481621184 519931960 571925156 602026480 714906445 831891136 1039863920 1143850312 1204052960 1429812890 2079727840 2287700624 2408105920 2859625780 4159455680 4575401248 5719251560 9150802496 11438503120 22877006240 45754012480