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52146668230224 = 24329157784130431
BaseRepresentation
bin10111101101101010101111…
…01000101101011001010000
320211122011122222011012001220
423312311113220231121100
523313332334031331344
6302523503151325040
713661321023336011
oct1366652750553120
9224564588135056
1052146668230224
1115685306834087
125a22459820780
1323135431aca99
14cc3cab15d008
156066c3e90c19
hex2f6d57a2d650

52146668230224 has 160 divisors (see below), whose sum is σ = 140267598013440. Its totient is φ = 16673264025600.

The previous prime is 52146668230211. The next prime is 52146668230229. The reversal of 52146668230224 is 42203286664125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52146668230229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1713588289 + ... + 1713618719.

It is an arithmetic number, because the mean of its divisors is an integer number (876672487584).

Almost surely, 252146668230224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52146668230224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70133799006720).

52146668230224 is an abundant number, since it is smaller than the sum of its proper divisors (88120929783216).

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

52146668230224 is a wasteful number, since it uses less digits than its factorization.

52146668230224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38469 (or 38463 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 52146668230224 in words is "fifty-two trillion, one hundred forty-six billion, six hundred sixty-eight million, two hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 157 174 232 314 348 464 471 628 696 942 1256 1392 1884 2512 3768 4553 7536 7841 9106 13659 15682 18212 23523 27318 30431 31364 36424 47046 54636 60862 62728 72848 91293 94092 109272 121724 125456 182586 188184 218544 227389 243448 365172 376368 454778 486896 682167 730344 882499 909556 1231037 1364334 1460688 1764998 1819112 2462074 2647497 2728668 3529996 3638224 3693111 4777667 4924148 5294994 5457336 7059992 7386222 9555334 9848296 10589988 10914672 14119984 14333001 14772444 19110668 19696592 21179976 28666002 29544888 35700073 38221336 42359952 57332004 59089776 71400146 76442672 107100219 114664008 138552343 142800292 214200438 229328016 238609471 277104686 285600584 415657029 428400876 477218942 554209372 571201168 715828413 831314058 856801752 954437884 1108418744 1431656826 1662628116 1713603504 1908875768 2216837488 2863313652 3325256232 3817751536 5726627304 6650512464 6919674659 11453254608 13839349318 20759023977 27678698636 37461686947 41518047954 55357397272 74923373894 83036095908 110714794544 112385060841 149846747788 166072191816 224770121682 299693495576 332144383632 449540243364 599386991152 899080486728 1086388921463 1798160973456 2172777842926 3259166764389 4345555685852 6518333528778 8691111371704 13036667057556 17382222743408 26073334115112 52146668230224