Search a number
-
+
170483924142 = 232721753214531
BaseRepresentation
bin1001111011000110100…
…0100011110010101110
3121022001022120200020200
42132301220203302232
510243122341033032
6210152542054330
715213515305500
oct2366150436256
9538038520220
10170483924142
1166335804584
122905a87a3a6
13130cc2a0c2c
148374045d70
15467c08a47c
hex27b1a23cae

170483924142 has 144 divisors (see below), whose sum is σ = 463551306192. Its totient is φ = 44979217920.

The previous prime is 170483924129. The next prime is 170483924153. The reversal of 170483924142 is 241429384071.

170483924142 is a `hidden beast` number, since 1 + 7 + 0 + 483 + 9 + 24 + 142 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 687417 + ... + 901947.

It is an arithmetic number, because the mean of its divisors is an integer number (3219106293).

Almost surely, 2170483924142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 170483924142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231775653096).

170483924142 is an abundant number, since it is smaller than the sum of its proper divisors (293067382050).

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

170483924142 is a wasteful number, since it uses less digits than its factorization.

170483924142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214623 (or 214613 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 170483924142 in words is "one hundred seventy billion, four hundred eighty-three million, nine hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 53 63 98 102 106 119 126 147 153 159 238 294 306 318 357 371 441 477 714 742 833 882 901 954 1071 1113 1666 1802 2142 2226 2499 2597 2703 3339 4998 5194 5406 6307 6678 7497 7791 8109 12614 14994 15582 16218 18921 23373 37842 44149 46746 56763 88298 113526 132447 214531 264894 397341 429062 643593 794682 1287186 1501717 1930779 3003434 3647027 3861558 4505151 7294054 9010302 10512019 10941081 11370143 13515453 21024038 21882162 22740286 25529189 27030906 31536057 32823243 34110429 51058378 63072114 65646486 68220858 76587567 79591001 94608171 102331287 153175134 159182002 178704323 189216342 193292431 204662574 229762701 238773003 357408646 386584862 459525402 477546006 536112969 557137007 579877293 716319009 1072225938 1114274014 1159754586 1353047017 1432638018 1608338907 1671411021 1739631879 2706094034 3216677814 3342822042 3479263758 4059141051 5014233063 8118282102 9471329119 10028466126 12177423153 18942658238 24354846306 28413987357 56827974714 85241962071 170483924142