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45018169812 = 223271117955313
BaseRepresentation
bin101001111011010010…
…101100000111010100
311022012101121222100200
4221323102230013110
51214144122413222
632403035340500
73152410062330
oct517322540724
9138171558320
1045018169812
1118101646320
1288845b1730
134325903505
142270c3c7c0
15128732beac
hexa7b4ac1d4

45018169812 has 144 divisors (see below), whose sum is σ = 150221215872. Its totient is φ = 11005194240.

The previous prime is 45018169811. The next prime is 45018169817. The reversal of 45018169812 is 21896181054.

It is a happy number.

45018169812 is a `hidden beast` number, since 4 + 501 + 8 + 1 + 69 + 81 + 2 = 666.

45018169812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×450181698122 (a number of 22 digits) contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45018169811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430533 + ... + 524780.

It is an arithmetic number, because the mean of its divisors is an integer number (1043202888).

Almost surely, 245018169812 is an apocalyptic number.

45018169812 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45018169812 is an abundant number, since it is smaller than the sum of its proper divisors (105203046060).

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

45018169812 is a wasteful number, since it uses less digits than its factorization.

45018169812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955358 (or 955353 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 45018169812 in words is "forty-five billion, eighteen million, one hundred sixty-nine thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 17 18 21 22 28 33 34 36 42 44 51 63 66 68 77 84 99 102 119 126 132 153 154 187 198 204 231 238 252 306 308 357 374 396 462 476 561 612 693 714 748 924 1071 1122 1309 1386 1428 1683 2142 2244 2618 2772 3366 3927 4284 5236 6732 7854 11781 15708 23562 47124 955313 1910626 2865939 3821252 5731878 6687191 8597817 10508443 11463756 13374382 16240321 17195634 20061573 21016886 26748764 31525329 32480642 34391268 40123146 42033772 48720963 60184719 63050658 64961284 73559101 80246292 94575987 97441926 113682247 120369438 126101316 146162889 147118202 178643531 189151974 194883852 220677303 227364494 240738876 292325778 294236404 341046741 357287062 378303948 441354606 454728988 535930593 584651556 662031909 682093482 714574124 882709212 1023140223 1071861186 1250504717 1324063818 1364186964 1607791779 2046280446 2143722372 2501009434 2648127636 3215583558 3751514151 4092560892 5002018868 6431167116 7503028302 11254542453 15006056604 22509084906 45018169812