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53362918064142 = 23423313407135601
BaseRepresentation
bin11000010001000100001011…
…10001101000000000001110
320222221110000111210101120000
430020202011301220000032
523443244224011023032
6305254330334305130
714145225566343111
oct1410420561500016
9228843014711500
1053362918064142
11160040a5095985
125b9a1113581a6
1323a114223591b
14d26ac9890578
1562815a571e7c
hex308885c6800e

53362918064142 has 160 divisors (see below), whose sum is σ = 128834900434944. Its totient is φ = 16460462304000.

The previous prime is 53362918064077. The next prime is 53362918064149. The reversal of 53362918064142 is 24146081926335.

It is a happy number.

53362918064142 is a `hidden beast` number, since 5 + 3 + 3 + 62 + 91 + 80 + 6 + 414 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53362918064149) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 393461142 + ... + 393596742.

Almost surely, 253362918064142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53362918064142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64417450217472).

53362918064142 is an abundant number, since it is smaller than the sum of its proper divisors (75471982370802).

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

53362918064142 is a wasteful number, since it uses less digits than its factorization.

53362918064142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139076 (or 139067 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 53362918064142 in words is "fifty-three trillion, three hundred sixty-two billion, nine hundred eighteen million, sixty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 31 46 54 62 69 81 93 138 162 186 207 279 414 558 621 713 837 1242 1426 1674 1863 2139 2511 3407 3726 4278 5022 6417 6814 10221 12834 19251 20442 30663 38502 57753 61326 78361 91989 105617 115506 135601 156722 183978 211234 235083 271202 275967 316851 406803 470166 551934 633702 705249 813606 950553 1220409 1410498 1901106 2115747 2429191 2440818 2851659 3118823 3661227 4203631 4231494 4858382 5703318 6237646 6347241 7287573 7322454 8407262 8554977 9356469 10983681 12610893 12694482 14575146 17109954 18712938 21862719 21967362 25221786 28069407 37832679 43725438 56138814 65588157 75665358 84208221 96683513 113498037 131176314 168416442 193367026 196764471 226996074 252624663 290050539 340494111 393528942 461992607 505249326 580101078 680988222 870151617 923985214 1385977821 1740303234 2610454851 2771955642 4157933463 5220909702 7831364553 8315866926 10625829961 12473800389 14321770817 15662729106 21251659922 24947600778 28643541634 31877489883 37421401167 42965312451 63754979766 74842802334 85930624902 95632469649 128895937353 191264939298 257791874706 286897408947 329400728791 386687812059 573794817894 658801457582 773375624118 860692226841 988202186373 1160063436177 1721384453682 1976404372746 2320126872354 2964606559119 5929213118238 8893819677357 17787639354714 26681459032071 53362918064142