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45467876454 = 23721121398317
BaseRepresentation
bin101010010110000110…
…001011110001100110
311100100201211102220020
4222112012023301212
51221104234021304
632515422220010
73166510400400
oct522606136146
9140321742806
1045467876454
1118312481600
12898b124606
134397b29810
1422b4861b70
1512b1a5d5d9
hexa9618bc66

45467876454 has 144 divisors (see below), whose sum is σ = 125218591344. Its totient is φ = 10901278080.

The previous prime is 45467876449. The next prime is 45467876459.

45467876454 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (45467876449) and next prime (45467876459).

It is a super-2 number, since 2×454678764542 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45467876459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 413304 + ... + 511620.

It is an arithmetic number, because the mean of its divisors is an integer number (869573551).

Almost surely, 245467876454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45467876454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62609295672).

45467876454 is an abundant number, since it is smaller than the sum of its proper divisors (79750714890).

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

45467876454 is a wasteful number, since it uses less digits than its factorization.

45467876454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98371 (or 98353 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 60.

The spelling of 45467876454 in words is "forty-five billion, four hundred sixty-seven million, eight hundred seventy-six thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 49 66 77 78 91 98 121 143 147 154 182 231 242 273 286 294 363 429 462 539 546 637 726 847 858 1001 1078 1274 1573 1617 1694 1911 2002 2541 3003 3146 3234 3822 4719 5082 5929 6006 7007 9438 11011 11858 14014 17787 21021 22022 33033 35574 42042 66066 77077 98317 154154 196634 231231 294951 462462 589902 688219 1081487 1278121 1376438 2064657 2162974 2556242 3244461 3834363 4129314 4817533 6488922 7570409 7668726 8946847 9635066 11896357 14059331 14452599 15140818 17893694 22711227 23792714 26840541 28118662 28905198 35689071 42177993 45422454 52992863 53681082 62627929 71378142 83274499 84355986 98415317 105985726 125255858 154652641 158978589 166548998 187883787 196830634 249823497 295245951 309305282 317957178 375767574 463957923 499646994 582921493 590491902 688907219 927915846 1082568487 1165842986 1377814438 1748764479 2066721657 2165136974 3247705461 3497528958 4133443314 6495410922 7577979409 15155958818 22733938227 45467876454