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84239040798 = 234111716716651
BaseRepresentation
bin100111001110100001…
…0011100000100011110
322001102202121122210000
41032131002130010132
52340010143301143
6102410542555130
76041344014063
oct1163502340436
9261382548700
1084239040798
11327a8819190
12143ab598aa6
137c3642c893
144111b54c6a
1522d0710bd3
hex139d09c11e

84239040798 has 160 divisors (see below), whose sum is σ = 219349202688. Its totient is φ = 23880096000.

The previous prime is 84239040731. The next prime is 84239040811. The reversal of 84239040798 is 89704093248.

84239040798 is a `hidden beast` number, since 8 + 423 + 90 + 40 + 7 + 98 = 666.

It is a super-3 number, since 3×842390407983 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 5050773 + ... + 5067423.

Almost surely, 284239040798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84239040798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109674601344).

84239040798 is an abundant number, since it is smaller than the sum of its proper divisors (135110161890).

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

84239040798 is a wasteful number, since it uses less digits than its factorization.

84239040798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16860 (or 16851 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 84239040798 in words is "eighty-four billion, two hundred thirty-nine million, forty thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 153 162 167 187 198 297 306 334 374 459 501 561 594 891 918 1002 1122 1377 1503 1683 1782 1837 2754 2839 3006 3366 3674 4509 5049 5511 5678 8517 9018 10098 11022 13527 15147 16533 16651 17034 25551 27054 30294 31229 33066 33302 49599 49953 51102 62458 76653 93687 99198 99906 148797 149859 153306 183161 187374 229959 281061 283067 297594 299718 366322 449577 459918 549483 562122 566134 843183 849201 899154 1098966 1348731 1648449 1686366 1698402 2529549 2547603 2697462 2780717 3113737 3296898 4945347 5059098 5095206 5561434 6227474 7642809 8342151 9341211 9890694 14836041 15285618 16684302 18682422 22928427 25026453 28023633 29672082 30587887 45856854 47272189 50052906 56047266 61175774 75079359 84070899 91763661 94544378 141816567 150158718 168141798 183527322 225238077 252212697 275290983 283633134 425449701 450476154 504425394 519994079 550581966 825872949 850899402 1039988158 1276349103 1559982237 1651745898 2477618847 2552698206 3119964474 3829047309 4679946711 4955237694 7658094618 9359893422 14039840133 28079680266 42119520399 84239040798