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42516165522104 = 231929113631135271
BaseRepresentation
bin10011010101011000100001…
…11100010111001010111000
312120112111122200021011221222
421222230100330113022320
521033041101333201404
6230231353511451212
711645456134100261
oct1152542074271270
9176474580234858
1042516165522104
111260200605237a
124927b01986b08
131a95346107ba1
14a6db170c9968
154dae22b1bdbe
hex26ab10f172b8

42516165522104 has 128 divisors (see below), whose sum is σ = 87714693504000. Its totient is φ = 19242016819200.

The previous prime is 42516165522031. The next prime is 42516165522137. The reversal of 42516165522104 is 40122556161524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314235989 + ... + 314371259.

It is an arithmetic number, because the mean of its divisors is an integer number (685271043000).

Almost surely, 242516165522104 is an apocalyptic number.

It is an amenable number.

42516165522104 is an abundant number, since it is smaller than the sum of its proper divisors (45198527981896).

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

42516165522104 is a wasteful number, since it uses less digits than its factorization.

42516165522104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136069 (or 136065 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 44.

The spelling of 42516165522104 in words is "forty-two trillion, five hundred sixteen billion, one hundred sixty-five million, five hundred twenty-two thousand, one hundred four".

Divisors: 1 2 4 8 19 29 38 58 76 113 116 152 226 232 452 551 631 904 1102 1262 2147 2204 2524 3277 4294 4408 5048 6554 8588 11989 13108 17176 18299 23978 26216 36598 47956 62263 71303 73196 95912 124526 135271 142606 146392 249052 270542 285212 347681 498104 541084 570424 695362 1082168 1354757 1390724 2067787 2570149 2709514 2781448 3922859 4135574 5140298 5419028 7845718 8271148 10280596 10838056 15285623 15691436 16542296 20561192 30571246 31382872 39287953 61142492 74534321 78575906 85356001 122284984 149068642 157151812 170712002 290426837 298137284 314303624 341424004 443283067 580853674 596274568 682848008 886566134 1161707348 1621764019 1773132268 2323414696 2475324029 3243528038 3546264536 4950648058 6487056076 8422378273 9645228113 9901296116 12974112152 16844756546 19290456226 19802592232 33689513092 38580912452 47031156551 67379026184 77161824904 94062313102 183259334147 188124626204 279711615277 366518668294 376249252408 559423230554 733037336588 1118846461108 1466074673176 2237692922216 5314520690263 10629041380526 21258082761052 42516165522104